22101122112102 has 64 divisors (see below), whose sum is σ = 55426011609600. Its totient is φ = 6466368011040.

The previous prime is 22101122112037. The next prime is 22101122112151. The reversal of 22101122112102 is 20121122110122.

22101122112102 is a `hidden beast` number, since 221 + 0 + 11 + 221 + 1 + 210 + 2 = 666.

It is a super-2 number, since 2×22101122112102² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 641487538 + ... + 641521989.

It is an arithmetic number, because the mean of its divisors is an integer number (866031431400).

Almost surely, 2^{22101122112102} is an apocalyptic number.

22101122112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22101122112102 is an abundant number, since it is smaller than the sum of its proper divisors (33324889497498).

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

22101122112102 is a wasteful number, since it uses less digits than its factorization.

22101122112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283009578 (or 1283009572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22101122112102 its reverse (20121122110122), we get a palindrome (42222244222224).

The spelling of 22101122112102 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred two".