22102120211100 has 288 divisors, whose sum is σ = 69642731079936. Its totient is φ = 5389340774400.

The previous prime is 22102120210943. The next prime is 22102120211111. The reversal of 22102120211100 is 111202120122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22102120211100.

It is a congruent number.

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, 128796355 + ... + 128967845.

It is an arithmetic number, because the mean of its divisors is an integer number (241815038472).

Almost surely, 2^{22102120211100} is an apocalyptic number.

22102120211100 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 22102120211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34821365539968).

22102120211100 is an abundant number, since it is smaller than the sum of its proper divisors (47540610868836).

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

22102120211100 is a wasteful number, since it uses less digits than its factorization.

22102120211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172245 (or 172238 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22102120211100 its reverse (111202120122), we get a palindrome (22213322331222).

The spelling of 22102120211100 in words is "twenty-two trillion, one hundred two billion, one hundred twenty million, two hundred eleven thousand, one hundred".