11100110100810 has 64 divisors (see below), whose sum is σ = 26679277497600. Its totient is φ = 2955695288832.

The previous prime is 11100110100809. The next prime is 11100110100811. The reversal of 11100110100810 is 1800101100111.

It is an interprime number because it is at equal distance from previous prime (11100110100809) and next prime (11100110100811).

It is a super-2 number, since 2×11100110100810² (a number of 27 digits) contains 22 as substring.

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 11100110100810.

It is not an unprimeable number, because it can be changed into a prime (11100110100811) 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, 463864926 + ... + 463888854.

It is an arithmetic number, because the mean of its divisors is an integer number (416863710900).

Almost surely, 2^{11100110100810} is an apocalyptic number.

11100110100810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11100110100810 is an abundant number, since it is smaller than the sum of its proper divisors (15579167396790).

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

11100110100810 is a wasteful number, since it uses less digits than its factorization.

11100110100810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45935.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11100110100810 its reverse (1800101100111), we get a palindrome (12900211200921).

The spelling of 11100110100810 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred thousand, eight hundred ten".