100800312212131 has 12 divisors (see below), whose sum is σ = 117264400052520. Its totient is φ = 86395187813760.

The previous prime is 100800312212101. The next prime is 100800312212209. The reversal of 100800312212131 is 131212213008001.

It is not a de Polignac number, because 100800312212131 - 2²⁵ = 100800278657699 is a prime.

It is a super-2 number, since 2×100800312212131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100800312212096 and 100800312212105.

It is not an unprimeable number, because it can be changed into a prime (100800312212101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59631726 + ... + 61298803.

It is an arithmetic number, because the mean of its divisors is an integer number (9772033337710).

Almost surely, 2^{100800312212131} is an apocalyptic number.

100800312212131 is a deficient number, since it is larger than the sum of its proper divisors (16464087840389).

100800312212131 is a wasteful number, since it uses less digits than its factorization.

100800312212131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120947554 (or 120947547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 100800312212131 in words is "one hundred trillion, eight hundred billion, three hundred twelve million, two hundred twelve thousand, one hundred thirty-one".