22200101122100 has 324 divisors, whose sum is σ = 56499682622208. Its totient is φ = 7564154188800.

The previous prime is 22200101122079. The next prime is 22200101122127. The reversal of 22200101122100 is 122110100222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 793782317 + ... + 793810283.

Almost surely, 2^{22200101122100} is an apocalyptic number.

22200101122100 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 22200101122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28249841311104).

22200101122100 is an abundant number, since it is smaller than the sum of its proper divisors (34299581500108).

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

22200101122100 is a wasteful number, since it uses less digits than its factorization.

22200101122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28264 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22200101122100 its reverse (122110100222), we get a palindrome (22322211222322).

The spelling of 22200101122100 in words is "twenty-two trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred".