21221100112212 has 288 divisors, whose sum is σ = 73969703318784. Its totient is φ = 4950462873600.

The previous prime is 21221100112181. The next prime is 21221100112229.

21221100112212 is a `hidden beast` number, since 21 + 221 + 100 + 112 + 212 = 666.

21221100112212 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6624589 + ... + 9291252.

Almost surely, 2^{21221100112212} is an apocalyptic number.

21221100112212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21221100112212 is an abundant number, since it is smaller than the sum of its proper divisors (52748603206572).

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

21221100112212 is a wasteful number, since it uses less digits than its factorization.

21221100112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15915919 (or 15915914 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21221100 and 112212, that added together give a palindrome (21333312).

The spelling of 21221100112212 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred million, one hundred twelve thousand, two hundred twelve".