10312212122100 has 144 divisors (see below), whose sum is σ = 37887831273600. Its totient is φ = 2357077052160.

The previous prime is 10312212122099. The next prime is 10312212122141. The reversal of 10312212122100 is 122121221301.

10312212122100 is a `hidden beast` number, since 10 + 312 + 2 + 121 + 221 + 0 + 0 = 666.

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

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, 272790945 + ... + 272828744.

It is an arithmetic number, because the mean of its divisors is an integer number (263109939400).

Almost surely, 2^{10312212122100} is an apocalyptic number.

10312212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312212122100 is an abundant number, since it is smaller than the sum of its proper divisors (27575619151500).

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

10312212122100 is a wasteful number, since it uses less digits than its factorization.

10312212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545619719 (or 545619706 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10312212122100 its reverse (122121221301), we get a palindrome (10434333343401).

The spelling of 10312212122100 in words is "ten trillion, three hundred twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".