22101100111000 has 32 divisors (see below), whose sum is σ = 51716574262080. Its totient is φ = 8840440044000.

The previous prime is 22101100110989. The next prime is 22101100111003. The reversal of 22101100111000 is 11100110122.

It is a super-2 number, since 2×22101100111000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101100111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11050549056 + ... + 11050551055.

It is an arithmetic number, because the mean of its divisors is an integer number (1616142945690).

Almost surely, 2^{22101100111000} is an apocalyptic number.

22101100111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101100111000 is an abundant number, since it is smaller than the sum of its proper divisors (29615474151080).

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

22101100111000 is a wasteful number, since it uses less digits than its factorization.

22101100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22101100132 (or 22101100118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 22101100111000 its reverse (11100110122), we get a palindrome (22112200221122).

The spelling of 22101100111000 in words is "twenty-two trillion, one hundred one billion, one hundred million, one hundred eleven thousand".