22121102101100 has 72 divisors (see below), whose sum is σ = 48083651886816. Its totient is φ = 8833548160000.

The previous prime is 22121102101099. The next prime is 22121102101121. The reversal of 22121102101100 is 110120112122.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 144325505 + ... + 144478695.

It is an arithmetic number, because the mean of its divisors is an integer number (667828498428).

Almost surely, 2^{22121102101100} is an apocalyptic number.

22121102101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121102101100 is an abundant number, since it is smaller than the sum of its proper divisors (25962549785716).

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

22121102101100 is a wasteful number, since it uses less digits than its factorization.

22121102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155627 (or 155620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22121102101100 its reverse (110120112122), we get a palindrome (22231222213222).

The spelling of 22121102101100 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, one hundred".