31121012000100 has 144 divisors (see below), whose sum is σ = 98979073433856. Its totient is φ = 7486896144000.

The previous prime is 31121012000083. The next prime is 31121012000101. The reversal of 31121012000100 is 100021012113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31121012000101) 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, 35562394 + ... + 36426993.

It is an arithmetic number, because the mean of its divisors is an integer number (687354676624).

Almost surely, 2^{31121012000100} is an apocalyptic number.

31121012000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31121012000100 is an abundant number, since it is smaller than the sum of its proper divisors (67858061433756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31121012000100 is a wasteful number, since it uses less digits than its factorization.

31121012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71989546 (or 71989539 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 31121012000100 its reverse (100021012113), we get a palindrome (31221033012213).

The spelling of 31121012000100 in words is "thirty-one trillion, one hundred twenty-one billion, twelve million, one hundred", and thus it is an aban number.