22100012021100 has 432 divisors, whose sum is σ = 70290518452224. Its totient is φ = 5357664000000.

The previous prime is 22100012021053. The next prime is 22100012021123. The reversal of 22100012021100 is 112021000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2779522125 + ... + 2779530075.

Almost surely, 2^{22100012021100} is an apocalyptic number.

22100012021100 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 22100012021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145259226112).

22100012021100 is an abundant number, since it is smaller than the sum of its proper divisors (48190506431124).

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

22100012021100 is a wasteful number, since it uses less digits than its factorization.

22100012021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8818 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22100012021100 its reverse (112021000122), we get a palindrome (22212033021222).

The spelling of 22100012021100 in words is "twenty-two trillion, one hundred billion, twelve million, twenty-one thousand, one hundred".