11100500510561 has 80 divisors (see below), whose sum is σ = 14442564080640. Its totient is φ = 8348883840000.

The previous prime is 11100500510557. The next prime is 11100500510597. The reversal of 11100500510561 is 16501500500111.

It is not a de Polignac number, because 11100500510561 - 2² = 11100500510557 is a prime.

It is a super-2 number, since 2×11100500510561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11100500510561.

It is not an unprimeable number, because it can be changed into a prime (11100500510501) 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 79 ways as a sum of consecutive naturals, for example, 1274011541 + ... + 1274020253.

It is an arithmetic number, because the mean of its divisors is an integer number (180532051008).

Almost surely, 2^{11100500510561} is an apocalyptic number.

11100500510561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100500510561 is a deficient number, since it is larger than the sum of its proper divisors (3342063570079).

11100500510561 is an frugal number, since it uses more digits than its factorization.

11100500510561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 11100500510561 in words is "eleven trillion, one hundred billion, five hundred million, five hundred ten thousand, five hundred sixty-one".