22021312301100 has 540 divisors, whose sum is σ = 86102032960944. Its totient is φ = 4768520336640.

The previous prime is 22021312301017. The next prime is 22021312301111. The reversal of 22021312301100 is 110321312022.

22021312301100 is a `hidden beast` number, since 2 + 20 + 21 + 312 + 301 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×22021312301100² (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 an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19930774 + ... + 21006626.

Almost surely, 2^{22021312301100} is an apocalyptic number.

22021312301100 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 22021312301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43051016480472).

22021312301100 is an abundant number, since it is smaller than the sum of its proper divisors (64080720659844).

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

22021312301100 is a wasteful number, since it uses less digits than its factorization.

22021312301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075924 (or 1075889 counting only the distinct ones).

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

Adding to 22021312301100 its reverse (110321312022), we get a palindrome (22131633613122).

The spelling of 22021312301100 in words is "twenty-two trillion, twenty-one billion, three hundred twelve million, three hundred one thousand, one hundred".