22101202112000 has 320 divisors, whose sum is σ = 60147289844928. Its totient is φ = 8033259520000.

The previous prime is 22101202111979. The next prime is 22101202112027. The reversal of 22101202112000 is 21120210122.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014138514 + ... + 2014149486.

Almost surely, 2^{22101202112000} is an apocalyptic number.

22101202112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073644922464).

22101202112000 is an abundant number, since it is smaller than the sum of its proper divisors (38046087732928).

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

22101202112000 is a wasteful number, since it uses less digits than its factorization.

22101202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878 (or 13852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22101202112000 its reverse (21120210122), we get a palindrome (22122322322122).

The spelling of 22101202112000 in words is "twenty-two trillion, one hundred one billion, two hundred two million, one hundred twelve thousand".