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101120000101020 = 223251733045751667
BaseRepresentation
bin10110111111011111010101…
…101011111000101010011100
3111021000222101200002200211200
4112333133111223320222130
5101223222230011213040
6555021515311515500
730204451604004225
oct2677372553705234
9437028350080750
10101120000101020
112a24682995607a
12b411897528b90
134456762632b04
141ad833c5ca24c
15ba556b00b630
hex5bf7d5af8a9c

101120000101020 has 72 divisors (see below), whose sum is σ = 324773647393104. Its totient is φ = 25379137279488.

The previous prime is 101120000101013. The next prime is 101120000101033. The reversal of 101120000101020 is 20101000021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101120000100993 and 101120000101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16522872774 + ... + 16522878893.

It is an arithmetic number, because the mean of its divisors is an integer number (4510745102682).

Almost surely, 2101120000101020 is an apocalyptic number.

101120000101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120000101020 is an abundant number, since it is smaller than the sum of its proper divisors (223653647292084).

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

101120000101020 is a wasteful number, since it uses less digits than its factorization.

101120000101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33045751699 (or 33045751694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120000101020 its reverse (20101000021101), we get a palindrome (121221000122121).

The spelling of 101120000101020 in words is "one hundred one trillion, one hundred twenty billion, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 33045751667 66091503334 99137255001 132183006668 165228758335 198274510002 297411765003 330457516670 396549020004 495686275005 561777778339 594823530006 660915033340 991372550010 1123555556678 1189647060012 1487058825015 1685333335017 1982745100020 2247111113356 2808888891695 2974117650030 3370666670034 5056000005051 5617777783390 5948235300060 6741333340068 8426666675085 10112000010102 11235555566780 16853333350170 20224000020204 25280000025255 33706666700340 50560000050510 101120000101020