100110111001000 has 64 divisors (see below), whose sum is σ = 234271148904000. Its totient is φ = 40041738561600.

The previous prime is 100110111000989. The next prime is 100110111001049. The reversal of 100110111001000 is 100111011001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14545411 + ... + 20292589.

It is an arithmetic number, because the mean of its divisors is an integer number (3660486701625).

Almost surely, 2^{100110111001000} is an apocalyptic number.

100110111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110111001000 is an abundant number, since it is smaller than the sum of its proper divisors (134161037903000).

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

100110111001000 is a wasteful number, since it uses less digits than its factorization.

100110111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764619 (or 5764605 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110111001000 its reverse (100111011001), we get a palindrome (100210222012001).

The spelling of 100110111001000 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one thousand".