22112122100100 has 36 divisors (see below), whose sum is σ = 63977739943824. Its totient is φ = 5896565893280.

The previous prime is 22112122100063. The next prime is 22112122100113. The reversal of 22112122100100 is 100122121122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22112122100100.

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 11 ways as a sum of consecutive naturals, for example, 36853536534 + ... + 36853537133.

It is an arithmetic number, because the mean of its divisors is an integer number (1777159442884).

Almost surely, 2^{22112122100100} is an apocalyptic number.

22112122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112122100100 is an abundant number, since it is smaller than the sum of its proper divisors (41865617843724).

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

22112122100100 is a wasteful number, since it uses less digits than its factorization.

22112122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73707073684 (or 73707073677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22112122100100 its reverse (100122121122), we get a palindrome (22212244221222).

It can be divided in two parts, 221121 and 22100100, that added together give a triangular number (22321221 = T₆₆₈₁).

The spelling of 22112122100100 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, one hundred".