22101112212120 has 64 divisors (see below), whose sum is σ = 73670374044000. Its totient is φ = 5893629922944.

The previous prime is 22101112212031. The next prime is 22101112212149. The reversal of 22101112212120 is 2121221110122.

22101112212120 is a `hidden beast` number, since 2 + 210 + 111 + 221 + 2 + 120 = 666.

It is a super-2 number, since 2×22101112212120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22101112212093 and 22101112212102.

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 15 ways as a sum of consecutive naturals, for example, 10231995315 + ... + 10231997474.

Almost surely, 2^{22101112212120} is an apocalyptic number.

22101112212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101112212120 is an abundant number, since it is smaller than the sum of its proper divisors (51569261831880).

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

22101112212120 is a wasteful number, since it uses less digits than its factorization.

22101112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20463992809 (or 20463992799 counting only the distinct ones).

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

Adding to 22101112212120 its reverse (2121221110122), we get a palindrome (24222333322242).

The spelling of 22101112212120 in words is "twenty-two trillion, one hundred one billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".