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10120101021 = 3219912174643
BaseRepresentation
bin10010110110011010…
…00111110010011101
3222010021202101202100
421123031013302131
5131211221213041
64352112515313
7505533303462
oct113315076235
928107671670
1010120101021
114323595758
121b6524bb39
13c5384b374
146c00a7669
153e36d36b6
hex25b347c9d

10120101021 has 24 divisors (see below), whose sum is σ = 14706619200. Its totient is φ = 6705870336.

The previous prime is 10120101011. The next prime is 10120101023. The reversal of 10120101021 is 12010102101.

It is a happy number.

It is not a de Polignac number, because 10120101021 - 26 = 10120100957 is a prime.

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 = 10120100994 and 10120101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2177326 + ... + 2181968.

It is an arithmetic number, because the mean of its divisors is an integer number (612775800).

Almost surely, 210120101021 is an apocalyptic number.

It is an amenable number.

10120101021 is a deficient number, since it is larger than the sum of its proper divisors (4586518179).

10120101021 is a wasteful number, since it uses less digits than its factorization.

10120101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6062 counting only the distinct ones).

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

Adding to 10120101021 its reverse (12010102101), we get a palindrome (22130203122).

The spelling of 10120101021 in words is "ten billion, one hundred twenty million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 199 597 1217 1791 3651 4643 10953 13929 41787 242183 726549 923957 2179647 2771871 5650531 8315613 16951593 50854779 1124455669 3373367007 10120101021