2123131032100 has 72 divisors (see below), whose sum is σ = 5132683440360. Its totient is φ = 756893383680.

The previous prime is 2123131031977. The next prime is 2123131032107. The reversal of 2123131032100 is 12301313212.

It can be written as a sum of positive squares in 12 ways, for example, as 1096058237184 + 1027072794916 = 1046928^2 + 1013446^2 .

It is a super-2 number, since 2×2123131032100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123131032107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28120537 + ... + 28195936.

It is an arithmetic number, because the mean of its divisors is an integer number (71287270005).

Almost surely, 2^{2123131032100} is an apocalyptic number.

2123131032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123131032100 is an abundant number, since it is smaller than the sum of its proper divisors (3009552408260).

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

2123131032100 is a wasteful number, since it uses less digits than its factorization.

2123131032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56316529 (or 56316522 counting only the distinct ones).

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

Adding to 2123131032100 its reverse (12301313212), we get a palindrome (2135432345312).

The spelling of 2123131032100 in words is "two trillion, one hundred twenty-three billion, one hundred thirty-one million, thirty-two thousand, one hundred".