22133101010100 has 72 divisors (see below), whose sum is σ = 64039045926240. Its totient is φ = 5902104324480.

The previous prime is 22133101010093. The next prime is 22133101010129. The reversal of 22133101010100 is 101010133122.

It is a happy number.

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 22133101010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38555779 + ... + 39125621.

It is an arithmetic number, because the mean of its divisors is an integer number (889431193420).

Almost surely, 2^{22133101010100} is an apocalyptic number.

22133101010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133101010100 is an abundant number, since it is smaller than the sum of its proper divisors (41905944916140).

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

22133101010100 is a wasteful number, since it uses less digits than its factorization.

22133101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699329 (or 699322 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 22133101010100 its reverse (101010133122), we get a palindrome (22234111143222).

The spelling of 22133101010100 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred one million, ten thousand, one hundred".