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101000210222100 = 223527353136247417
BaseRepresentation
bin10110111101101111110001…
…101001110000110000010100
3111020121112012022022100021110
4112331233301221300300110
5101214241412304101400
6554450504523015020
730163011235561560
oct2675576151606024
9436545168270243
10101000210222100
112a1aaa48667042
12b3b262606a470
134448381b37757
141ad261713c6a0
15ba23a970de50
hex5bdbf1a70c14

101000210222100 has 144 divisors (see below), whose sum is σ = 334920132989568. Its totient is φ = 23020363407360.

The previous prime is 101000210222077. The next prime is 101000210222101. The reversal of 101000210222100 is 1222012000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000210222101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67382409 + ... + 68865008.

It is an arithmetic number, because the mean of its divisors is an integer number (2325834256872).

Almost surely, 2101000210222100 is an apocalyptic number.

101000210222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000210222100 is an abundant number, since it is smaller than the sum of its proper divisors (233919922767468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000210222100 is a wasteful number, since it uses less digits than its factorization.

101000210222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136247794 (or 136247787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000210222100 its reverse (1222012000101), we get a palindrome (102222222222201).

The spelling of 101000210222100 in words is "one hundred one trillion, two hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 353 420 525 700 706 1050 1059 1412 1765 2100 2118 2471 3530 4236 4942 5295 7060 7413 8825 9884 10590 12355 14826 17650 21180 24710 26475 29652 35300 37065 49420 52950 61775 74130 105900 123550 148260 185325 247100 370650 741300 136247417 272494834 408742251 544989668 681237085 817484502 953731919 1362474170 1634969004 1907463838 2043711255 2724948340 2861195757 3406185425 3814927676 4087422510 4768659595 5722391514 6812370850 8174845020 9537319190 10218556275 11444783028 13624741700 14305978785 19074638380 20437112550 23843297975 28611957570 40874225100 47686595950 48095338201 57223915140 71529893925 95373191900 96190676402 143059787850 144286014603 192381352804 240476691005 286119575700 288572029206 336667367407 480953382010 577144058412 673334734814 721430073015 961906764020 1010002102221 1202383455025 1346669469628 1442860146030 1683336837035 2020004204442 2404766910050 2885720292060 3366673674070 3607150365075 4040008408884 4809533820100 5050010511105 6733347348140 7214300730150 8416684185175 10100021022210 14428601460300 16833368370350 20200042044420 25250052555525 33666736740700 50500105111050 101000210222100