21300122100312 has 48 divisors (see below), whose sum is σ = 62932178935080. Its totient is φ = 6454582454400.

The previous prime is 21300122100289. The next prime is 21300122100373.

21300122100312 is a `hidden beast` number, since 2 + 130 + 0 + 1 + 221 + 0 + 0 + 312 = 666.

21300122100312 is nontrivially palindromic in base 10.

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 11 ways as a sum of consecutive naturals, for example, 13447045989 + ... + 13447047572.

Almost surely, 2^{21300122100312} is an apocalyptic number.

21300122100312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21300122100312 is an abundant number, since it is smaller than the sum of its proper divisors (41632056834768).

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

21300122100312 is a wasteful number, since it uses less digits than its factorization.

21300122100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26894093584 (or 26894093577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2130012 and 2100312, that added together give a palindrome (4230324).

The spelling of 21300122100312 in words is "twenty-one trillion, three hundred billion, one hundred twenty-two million, one hundred thousand, three hundred twelve".