22211211012100 has 288 divisors, whose sum is σ = 55973107491840. Its totient is φ = 7565628096000.

The previous prime is 22211211012049. The next prime is 22211211012143. The reversal of 22211211012100 is 121011211222.

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, 758383657 + ... + 758412943.

It is an arithmetic number, because the mean of its divisors is an integer number (194351067680).

Almost surely, 2^{22211211012100} is an apocalyptic number.

22211211012100 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 22211211012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27986553745920).

22211211012100 is an abundant number, since it is smaller than the sum of its proper divisors (33761896479740).

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

22211211012100 is a wasteful number, since it uses less digits than its factorization.

22211211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29739 (or 29732 counting only the distinct ones).

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

Adding to 22211211012100 its reverse (121011211222), we get a palindrome (22332222223322).

The spelling of 22211211012100 in words is "twenty-two trillion, two hundred eleven billion, two hundred eleven million, twelve thousand, one hundred".