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101221100010 = 2345432906147
BaseRepresentation
bin101111001000100111…
…1110110100111101010
3100200021021100122120000
41132101033312213222
53124300100200020
6114300023243430
710212232103562
oct1362117664752
9320237318500
10101221100010
1139a22743668
121774a8a9576
1397117b0c24
144c832c3da2
152976542090
hex17913f69ea

101221100010 has 80 divisors (see below), whose sum is σ = 278501975136. Its totient is φ = 26364556512.

The previous prime is 101221099999. The next prime is 101221100027. The reversal of 101221100010 is 10001122101.

It is a happy number.

It is a super-2 number, since 2×1012211000102 (a number of 23 digits) contains 22 as substring.

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 = 101221099965 and 101221100001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1418244 + ... + 1487903.

Almost surely, 2101221100010 is an apocalyptic number.

101221100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221100010 is an abundant number, since it is smaller than the sum of its proper divisors (177280875126).

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

101221100010 is a wasteful number, since it uses less digits than its factorization.

101221100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906209 (or 2906200 counting only the distinct ones).

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

Adding to 101221100010 its reverse (10001122101), we get a palindrome (111222222111).

The spelling of 101221100010 in words is "one hundred one billion, two hundred twenty-one million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1935 2322 3483 3870 5805 6966 11610 17415 34830 2906147 5812294 8718441 14530735 17436882 26155323 29061470 43592205 52310646 78465969 87184410 124964321 130776615 156931938 235397907 249928642 261553230 374892963 392329845 470795814 624821605 749785926 784659690 1124678889 1176989535 1249643210 1874464815 2249357778 2353979070 3374036667 3748929630 5623394445 6748073334 10122110001 11246788890 16870183335 20244220002 33740366670 50610550005 101221100010