22011131110100 has 72 divisors (see below), whose sum is σ = 52418364884928. Its totient is φ = 7956119180800.

The previous prime is 22011131110039. The next prime is 22011131110103. The reversal of 22011131110100 is 101113111022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011131110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59726837 + ... + 60094236.

It is an arithmetic number, because the mean of its divisors is an integer number (728032845624).

Almost surely, 2^{22011131110100} is an apocalyptic number.

22011131110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011131110100 is an abundant number, since it is smaller than the sum of its proper divisors (30407233774828).

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

22011131110100 is a wasteful number, since it uses less digits than its factorization.

22011131110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119821265 (or 119821258 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 22011131110100 its reverse (101113111022), we get a palindrome (22112244221122).

The spelling of 22011131110100 in words is "twenty-two trillion, eleven billion, one hundred thirty-one million, one hundred ten thousand, one hundred".