22100102211200 has 384 divisors, whose sum is σ = 60264603912240. Its totient is φ = 7956135936000.

The previous prime is 22100102211199. The next prime is 22100102211223. The reversal of 22100102211200 is 211220100122.

It can be written as a sum of positive squares in 24 ways, for example, as 1865147415616 + 20234954795584 = 1365704^2 + 4498328^2 .

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, 3917760380 + ... + 3917766020.

Almost surely, 2^{22100102211200} is an apocalyptic number.

22100102211200 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 22100102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132301956120).

22100102211200 is an abundant number, since it is smaller than the sum of its proper divisors (38164501701040).

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

22100102211200 is a wasteful number, since it uses less digits than its factorization.

22100102211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 7999 counting only the distinct ones).

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

Adding to 22100102211200 its reverse (211220100122), we get a palindrome (22311322311322).

The spelling of 22100102211200 in words is "twenty-two trillion, one hundred billion, one hundred two million, two hundred eleven thousand, two hundred".