22001012111100 has 288 divisors, whose sum is σ = 72079398623232. Its totient is φ = 5133006720000.

The previous prime is 22001012111041. The next prime is 22001012111137. The reversal of 22001012111100 is 111121010022.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17922202 + ... + 19110398.

It is an arithmetic number, because the mean of its divisors is an integer number (250275689664).

Almost surely, 2^{22001012111100} is an apocalyptic number.

22001012111100 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 22001012111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36039699311616).

22001012111100 is an abundant number, since it is smaller than the sum of its proper divisors (50078386512132).

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

22001012111100 is a wasteful number, since it uses less digits than its factorization.

22001012111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188437 (or 1188430 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22001012111100 its reverse (111121010022), we get a palindrome (22112133121122).

The spelling of 22001012111100 in words is "twenty-two trillion, one billion, twelve million, one hundred eleven thousand, one hundred".