101111000110000 has 100 divisors (see below), whose sum is σ = 246152332089664. Its totient is φ = 40220949600000.

The previous prime is 101111000109967. The next prime is 101111000110031. The reversal of 101111000110000 is 11000111101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26121216 + ... + 29741215.

Almost surely, 2^{101111000110000} is an apocalyptic number.

101111000110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111000110000 is an abundant number, since it is smaller than the sum of its proper divisors (145041331979664).

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

101111000110000 is an equidigital number, since it uses as much as digits as its factorization.

101111000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55862640 (or 55862619 counting only the distinct ones).

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

Adding to 101111000110000 its reverse (11000111101), we get a palindrome (101122000221101).

The spelling of 101111000110000 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten thousand".