31120010120100 has 72 divisors (see below), whose sum is σ = 98226068316768. Its totient is φ = 7544244876800.

The previous prime is 31120010120083. The next prime is 31120010120119. The reversal of 31120010120100 is 102101002113.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4715149749 + ... + 4715156348.

It is an arithmetic number, because the mean of its divisors is an integer number (1364250948844).

Almost surely, 2^{31120010120100} is an apocalyptic number.

31120010120100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31120010120100 is an abundant number, since it is smaller than the sum of its proper divisors (67106058196668).

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

31120010120100 is a wasteful number, since it uses less digits than its factorization.

31120010120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430306125 (or 9430306118 counting only the distinct ones).

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

Adding to 31120010120100 its reverse (102101002113), we get a palindrome (31222111122213).

The spelling of 31120010120100 in words is "thirty-one trillion, one hundred twenty billion, ten million, one hundred twenty thousand, one hundred".