100100110110110 has 256 divisors, whose sum is σ = 203974844848128. Its totient is φ = 35063663616000.

The previous prime is 100100110110107. The next prime is 100100110110139. The reversal of 100100110110110 is 11011011001001.

It is a super-2 number, since 2×100100110110110² (a number of 29 digits) contains 22 as substring.

100100110110110 is a modest number, since divided by 110110110 gives 100100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18111108167 + ... + 18111113693.

It is an arithmetic number, because the mean of its divisors is an integer number (796776737688).

Almost surely, 2^{100100110110110} is an apocalyptic number.

100100110110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100110110110 is an abundant number, since it is smaller than the sum of its proper divisors (103874734738018).

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

100100110110110 is a wasteful number, since it uses less digits than its factorization.

100100110110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100100110110110 its reverse (11011011001001), we get a palindrome (111111121111111).

It can be divided in two parts, 1001001 and 10110110, that added together give a palindrome (11111111).

The spelling of 100100110110110 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred ten".