21300100100312 has 64 divisors (see below), whose sum is σ = 44308620000000. Its totient is φ = 9517380599680.

The previous prime is 21300100100269. The next prime is 21300100100317.

21300100100312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21300100100312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300100100317) 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 15 ways as a sum of consecutive naturals, for example, 157712189 + ... + 157847187.

It is an arithmetic number, because the mean of its divisors is an integer number (692322187500).

Almost surely, 2^{21300100100312} is an apocalyptic number.

21300100100312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21300100100312 is an abundant number, since it is smaller than the sum of its proper divisors (23008519899688).

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

21300100100312 is a wasteful number, since it uses less digits than its factorization.

21300100100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165464 (or 165460 counting only the distinct ones).

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

It can be divided in two parts, 21300100 and 100312, that added together give a palindrome (21400412).

The spelling of 21300100100312 in words is "twenty-one trillion, three hundred billion, one hundred million, one hundred thousand, three hundred twelve".