22101201011200 has 120 divisors (see below), whose sum is σ = 56093001107220. Its totient is φ = 8624858726400.

The previous prime is 22101201011177. The next prime is 22101201011233. The reversal of 22101201011200 is 211010210122.

It can be written as a sum of positive squares in 6 ways, for example, as 9750081190144 + 12351119821056 = 3122512^2 + 3514416^2 .

It is a super-2 number, since 2×22101201011200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20531985 + ... + 21581584.

Almost surely, 2^{22101201011200} is an apocalyptic number.

22101201011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101201011200 is an abundant number, since it is smaller than the sum of its proper divisors (33991800096020).

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

22101201011200 is an equidigital number, since it uses as much as digits as its factorization.

22101201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42113638 (or 42113617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22101201011200 its reverse (211010210122), we get a palindrome (22312211221322).

The spelling of 22101201011200 in words is "twenty-two trillion, one hundred one billion, two hundred one million, eleven thousand, two hundred".