100012022132131 has 16 divisors (see below), whose sum is σ = 102518952649344. Its totient is φ = 97513468363584.

The previous prime is 100012022132107. The next prime is 100012022132167. The reversal of 100012022132131 is 131231220210001.

It is a cyclic number.

It is not a de Polignac number, because 100012022132131 - 2³⁹ = 99462266318243 is a prime.

It is a super-2 number, since 2×100012022132131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012022132099 and 100012022132108.

It is not an unprimeable number, because it can be changed into a prime (100012022132831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56625516 + ... + 58364998.

It is an arithmetic number, because the mean of its divisors is an integer number (6407434540584).

Almost surely, 2^{100012022132131} is an apocalyptic number.

100012022132131 is a deficient number, since it is larger than the sum of its proper divisors (2506930517213).

100012022132131 is a wasteful number, since it uses less digits than its factorization.

100012022132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741890.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100012022132131 its reverse (131231220210001), we get a palindrome (231243242342132).

The spelling of 100012022132131 in words is "one hundred trillion, twelve billion, twenty-two million, one hundred thirty-two thousand, one hundred thirty-one".