2312110002100 has 72 divisors (see below), whose sum is σ = 5078428194168. Its totient is φ = 913640332800.

The previous prime is 2312110002031. The next prime is 2312110002101. The reversal of 2312110002100 is 12000112132.

It can be written as a sum of positive squares in 12 ways, for example, as 273577118116 + 2038532883984 = 523046^2 + 1427772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312110002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290470 + ... + 3141730.

It is an arithmetic number, because the mean of its divisors is an integer number (70533724919).

Almost surely, 2^{2312110002100} is an apocalyptic number.

2312110002100 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 2312110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539214097084).

2312110002100 is an abundant number, since it is smaller than the sum of its proper divisors (2766318192068).

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

2312110002100 is a wasteful number, since it uses less digits than its factorization.

2312110002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851605 (or 851598 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2312110002100 its reverse (12000112132), we get a palindrome (2324110114232).

The spelling of 2312110002100 in words is "two trillion, three hundred twelve billion, one hundred ten million, two thousand, one hundred".