22101122112200 has 48 divisors (see below), whose sum is σ = 54407762384580. Its totient is φ = 8320422440960.

The previous prime is 22101122112193. The next prime is 22101122112211. The reversal of 22101122112200 is 221122110122.

It can be written as a sum of positive squares in 6 ways, for example, as 17572746624196 + 4528375488004 = 4191986^2 + 2127998^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3250161617 + ... + 3250168416.

Almost surely, 2^{22101122112200} is an apocalyptic number.

22101122112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101122112200 is an abundant number, since it is smaller than the sum of its proper divisors (32306640272380).

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

22101122112200 is a wasteful number, since it uses less digits than its factorization.

22101122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500330066 (or 6500330057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22101122112200 its reverse (221122110122), we get a palindrome (22322244222322).

The spelling of 22101122112200 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".