22101121200100 has 36 divisors (see below), whose sum is σ = 47960118832500. Its totient is φ = 8840322060160.

The previous prime is 22101121200017. The next prime is 22101121200121. The reversal of 22101121200100 is 100212110122.

It can be written as a sum of positive squares in 6 ways, for example, as 7834893631744 + 14266227568356 = 2799088^2 + 3777066^2 .

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, 5610426 + ... + 8699374.

It is an arithmetic number, because the mean of its divisors is an integer number (1332225523125).

Almost surely, 2^{22101121200100} is an apocalyptic number.

22101121200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101121200100 is an abundant number, since it is smaller than the sum of its proper divisors (25858997632400).

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

22101121200100 is a wasteful number, since it uses less digits than its factorization.

22101121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160512 (or 3160505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22101121200100 its reverse (100212110122), we get a palindrome (22201333310222).

The spelling of 22101121200100 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred".