2331130122100 has 144 divisors (see below), whose sum is σ = 5827593603888. Its totient is φ = 801741864960.

The previous prime is 2331130122073. The next prime is 2331130122131. The reversal of 2331130122100 is 12210311332.

It can be written as a sum of positive squares in 24 ways, for example, as 2189612710756 + 141517411344 = 1479734^2 + 376188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599984 + ... + 2687416.

It is an arithmetic number, because the mean of its divisors is an integer number (40469400027).

Almost surely, 2^{2331130122100} is an apocalyptic number.

2331130122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331130122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913796801944).

2331130122100 is an abundant number, since it is smaller than the sum of its proper divisors (3496463481788).

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

2331130122100 is a wasteful number, since it uses less digits than its factorization.

2331130122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087574 (or 1087567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2331130122100 its reverse (12210311332), we get a palindrome (2343340433432).

The spelling of 2331130122100 in words is "two trillion, three hundred thirty-one billion, one hundred thirty million, one hundred twenty-two thousand, one hundred".