22100102101000 has 128 divisors (see below), whose sum is σ = 64474895496960. Its totient is φ = 6888343488000.

The previous prime is 22100102100943. The next prime is 22100102101123. The reversal of 22100102101000 is 10120100122.

It is a super-2 number, since 2×22100102101000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 143430157 + ... + 143584156.

It is an arithmetic number, because the mean of its divisors is an integer number (503710121070).

Almost surely, 2^{22100102101000} is an apocalyptic number.

22100102101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100102101000 is an abundant number, since it is smaller than the sum of its proper divisors (42374793395960).

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

22100102101000 is a wasteful number, since it uses less digits than its factorization.

22100102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287014352 (or 287014338 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22100102101000 its reverse (10120100122), we get a palindrome (22110222201122).

The spelling of 22100102101000 in words is "twenty-two trillion, one hundred billion, one hundred two million, one hundred one thousand".