22221101122100 has 18 divisors (see below), whose sum is σ = 48219789435174. Its totient is φ = 8888440448800.

The previous prime is 22221101122097. The next prime is 22221101122151. The reversal of 22221101122100 is 122110112222.

It can be written as a sum of positive squares in 3 ways, for example, as 85092390436 + 22136008731664 = 291706^2 + 4704892^2 .

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 5 ways as a sum of consecutive naturals, for example, 111105505511 + ... + 111105505710.

It is an arithmetic number, because the mean of its divisors is an integer number (2678877190843).

Almost surely, 2^{22221101122100} is an apocalyptic number.

22221101122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221101122100 is an abundant number, since it is smaller than the sum of its proper divisors (25998688313074).

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

22221101122100 is a wasteful number, since it uses less digits than its factorization.

22221101122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222211011235 (or 222211011228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22221101122100 its reverse (122110112222), we get a palindrome (22343211234322).

The spelling of 22221101122100 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred".