22101201111200 has 576 divisors, whose sum is σ = 58440459571200. Its totient is φ = 8132413685760.

The previous prime is 22101201111139. The next prime is 22101201111211. The reversal of 22101201111200 is 211110210122.

It is a super-2 number, since 2×22101201111200² (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 95 ways as a sum of consecutive naturals, for example, 40404389327 + ... + 40404389873.

It is an arithmetic number, because the mean of its divisors is an integer number (101459131200).

Almost surely, 2^{22101201111200} is an apocalyptic number.

22101201111200 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 22101201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29220229785600).

22101201111200 is an abundant number, since it is smaller than the sum of its proper divisors (36339258460000).

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

22101201111200 is a wasteful number, since it uses less digits than its factorization.

22101201111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22101201111200 its reverse (211110210122), we get a palindrome (22312311321322).

The spelling of 22101201111200 in words is "twenty-two trillion, one hundred one billion, two hundred one million, one hundred eleven thousand, two hundred".