22121510100 has 144 divisors (see below), whose sum is σ = 69956522496. Its totient is φ = 5372928000.

The previous prime is 22121510071. The next prime is 22121510111. The reversal of 22121510100 is 101512122.

It is a super-2 number, since 2×22121510100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22121510100.

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 47 ways as a sum of consecutive naturals, for example, 88140 + ... + 228060.

It is an arithmetic number, because the mean of its divisors is an integer number (485809184).

Almost surely, 2^22121510100 is an apocalyptic number.

22121510100 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 22121510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34978261248).

22121510100 is an abundant number, since it is smaller than the sum of its proper divisors (47835012396).

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

22121510100 is a wasteful number, since it uses less digits than its factorization.

22121510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139986 (or 139979 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The spelling of 22121510100 in words is "twenty-two billion, one hundred twenty-one million, five hundred ten thousand, one hundred".