10312312100 has 72 divisors (see below), whose sum is σ = 22728165096. Its totient is φ = 4060800000.

The previous prime is 10312312097. The next prime is 10312312123. The reversal of 10312312100 is 121321301.

It can be written as a sum of positive squares in 12 ways, for example, as 593507044 + 9718805056 = 24362^2 + 98584^2 .

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, 1825280 + ... + 1830920.

Almost surely, 2^10312312100 is an apocalyptic number.

10312312100 is a gapful number since it is divisible by the number (10) 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 10312312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364082548).

10312312100 is an abundant number, since it is smaller than the sum of its proper divisors (12415852996).

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

10312312100 is a wasteful number, since it uses less digits than its factorization.

10312312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10312312100 its reverse (121321301), we get a palindrome (10433633401).

The spelling of 10312312100 in words is "ten billion, three hundred twelve million, three hundred twelve thousand, one hundred".