22101121600 has 42 divisors (see below), whose sum is σ = 54382576274. Its totient is φ = 8840448000.

The previous prime is 22101121591. The next prime is 22101121621. The reversal of 22101121600 is 612110122.

It can be written as a sum of positive squares in 3 ways, for example, as 6016794624 + 16084326976 = 77568^2 + 126824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6905001 + ... + 6908200.

Almost surely, 2^22101121600 is an apocalyptic number.

22101121600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101121600 is an abundant number, since it is smaller than the sum of its proper divisors (32281454674).

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

22101121600 is a wasteful number, since it uses less digits than its factorization.

22101121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813223 (or 13813208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22101121600 its reverse (612110122), we get a palindrome (22713231722).

The spelling of 22101121600 in words is "twenty-two billion, one hundred one million, one hundred twenty-one thousand, six hundred".