22100100101112 has 64 divisors (see below), whose sum is σ = 60285480053760. Its totient is φ = 6695613388800.

The previous prime is 22100100101111. The next prime is 22100100101113. The reversal of 22100100101112 is 21110100100122.

It is an interprime number because it is at equal distance from previous prime (22100100101111) and next prime (22100100101113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100100101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7388713 + ... + 9939480.

It is an arithmetic number, because the mean of its divisors is an integer number (941960625840).

Almost surely, 2^{22100100101112} is an apocalyptic number.

22100100101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22100100101112 is an abundant number, since it is smaller than the sum of its proper divisors (38185379952648).

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

22100100101112 is a wasteful number, since it uses less digits than its factorization.

22100100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17333044 (or 17333040 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22100100101112 its reverse (21110100100122), we get a palindrome (43210200201234).

The spelling of 22100100101112 in words is "twenty-two trillion, one hundred billion, one hundred million, one hundred one thousand, one hundred twelve".