22102111121200 has 480 divisors, whose sum is σ = 63512352538560. Its totient is φ = 7296358809600.

The previous prime is 22102111121137. The next prime is 22102111121249. The reversal of 22102111121200 is 212111120122.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2501083182 + ... + 2501092018.

It is an arithmetic number, because the mean of its divisors is an integer number (132317401122).

Almost surely, 2^{22102111121200} is an apocalyptic number.

22102111121200 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 22102111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31756176269280).

22102111121200 is an abundant number, since it is smaller than the sum of its proper divisors (41410241417360).

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

22102111121200 is a wasteful number, since it uses less digits than its factorization.

22102111121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22102111121200 its reverse (212111120122), we get a palindrome (22314222241322).

The spelling of 22102111121200 in words is "twenty-two trillion, one hundred two billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".