22113323100100 has 36 divisors (see below), whose sum is σ = 47995075126404. Its totient is φ = 8843640023680.

The previous prime is 22113323100083. The next prime is 22113323100139. The reversal of 22113323100100 is 100132331122.

It can be written as a sum of positive squares in 6 ways, for example, as 3018503163456 + 19094819936644 = 1737384^2 + 4369762^2 .

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, 20588887 + ... + 21636286.

It is an arithmetic number, because the mean of its divisors is an integer number (1333196531289).

Almost surely, 2^{22113323100100} is an apocalyptic number.

22113323100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22113323100100 is an abundant number, since it is smaller than the sum of its proper divisors (25881752026304).

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

22113323100100 is a wasteful number, since it uses less digits than its factorization.

22113323100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42230424 (or 42230417 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22113323100100 its reverse (100132331122), we get a palindrome (22213455431222).

The spelling of 22113323100100 in words is "twenty-two trillion, one hundred thirteen billion, three hundred twenty-three million, one hundred thousand, one hundred".