331102111122 has 96 divisors (see below), whose sum is σ = 768389067264. Its totient is φ = 102848486400.

The previous prime is 331102111069. The next prime is 331102111129. The reversal of 331102111122 is 221111201133.

331102111122 is a `hidden beast` number, since 331 + 1 + 0 + 211 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331102111095 and 331102111104.

It is not an unprimeable number, because it can be changed into a prime (331102111129) 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, 1919997 + ... + 2085327.

It is an arithmetic number, because the mean of its divisors is an integer number (8004052784).

Almost surely, 2^331102111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331102111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384194533632).

331102111122 is an abundant number, since it is smaller than the sum of its proper divisors (437286956142).

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

331102111122 is a wasteful number, since it uses less digits than its factorization.

331102111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165504 (or 165501 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 331102111122 its reverse (221111201133), we get a palindrome (552213312255).

The spelling of 331102111122 in words is "three hundred thirty-one billion, one hundred two million, one hundred eleven thousand, one hundred twenty-two".