100010124102131 has 16 divisors (see below), whose sum is σ = 103550762836800. Its totient is φ = 96475637747328.

The previous prime is 100010124102127. The next prime is 100010124102179. The reversal of 100010124102131 is 131201421010001.

It is a cyclic number.

It is not a de Polignac number, because 100010124102131 - 2² = 100010124102127 is a prime.

It is a super-2 number, since 2×100010124102131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010124102191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318349625 + ... + 318663621.

It is an arithmetic number, because the mean of its divisors is an integer number (6471922677300).

Almost surely, 2^{100010124102131} is an apocalyptic number.

100010124102131 is a deficient number, since it is larger than the sum of its proper divisors (3540638734669).

100010124102131 is a wasteful number, since it uses less digits than its factorization.

100010124102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323758.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100010124102131 its reverse (131201421010001), we get a palindrome (231211545112132).

The spelling of 100010124102131 in words is "one hundred trillion, ten billion, one hundred twenty-four million, one hundred two thousand, one hundred thirty-one".