22311031012100 has 144 divisors (see below), whose sum is σ = 49792746091536. Its totient is φ = 8672212992000.

The previous prime is 22311031012097. The next prime is 22311031012117. The reversal of 22311031012100 is 121013011322.

It can be written as a sum of positive squares in 24 ways, for example, as 21929383825924 + 381647186176 = 4682882^2 + 617776^2 .

It is a super-3 number, since 3×22311031012100³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768885394 + ... + 1768898006.

It is an arithmetic number, because the mean of its divisors is an integer number (345782958969).

Almost surely, 2^{22311031012100} is an apocalyptic number.

22311031012100 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 22311031012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896373045768).

22311031012100 is an abundant number, since it is smaller than the sum of its proper divisors (27481715079436).

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

22311031012100 is a wasteful number, since it uses less digits than its factorization.

22311031012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 22311031012100 its reverse (121013011322), we get a palindrome (22432044023422).

The spelling of 22311031012100 in words is "twenty-two trillion, three hundred eleven billion, thirty-one million, twelve thousand, one hundred".