22100112100033 has 32 divisors (see below), whose sum is σ = 24670129720320. Its totient is φ = 19627863399360.

The previous prime is 22100112100021. The next prime is 22100112100039. The reversal of 22100112100033 is 33000121100122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22100112100033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22100112100039) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 550240410 + ... + 550280572.

It is an arithmetic number, because the mean of its divisors is an integer number (770941553760).

Almost surely, 2^{22100112100033} is an apocalyptic number.

It is an amenable number.

22100112100033 is a deficient number, since it is larger than the sum of its proper divisors (2570017620287).

22100112100033 is a wasteful number, since it uses less digits than its factorization.

22100112100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45477.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22100112100033 its reverse (33000121100122), we get a palindrome (55100233200155).

The spelling of 22100112100033 in words is "twenty-two trillion, one hundred billion, one hundred twelve million, one hundred thousand, thirty-three".