10121216931 has 48 divisors (see below), whose sum is σ = 16804569600. Its totient is φ = 5750262144.

The previous prime is 10121216923. The next prime is 10121216933. The reversal of 10121216931 is 13961212101.

It is a happy number.

It is not a de Polignac number, because 10121216931 - 2³ = 10121216923 is a prime.

It is a super-2 number, since 2×10121216931² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121216895 and 10121216904.

It is not an unprimeable number, because it can be changed into a prime (10121216933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12063010 + ... + 12063848.

It is an arithmetic number, because the mean of its divisors is an integer number (350095200).

Almost surely, 2^10121216931 is an apocalyptic number.

10121216931 is a deficient number, since it is larger than the sum of its proper divisors (6683352669).

10121216931 is a wasteful number, since it uses less digits than its factorization.

10121216931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10121216931 in words is "ten billion, one hundred twenty-one million, two hundred sixteen thousand, nine hundred thirty-one".