101001111100000 has 72 divisors (see below), whose sum is σ = 248541514418736. Its totient is φ = 40400444400000.

The previous prime is 101001111099961. The next prime is 101001111100031. The reversal of 101001111100000 is 1111100101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504905556 + ... + 505105555.

It is an arithmetic number, because the mean of its divisors is an integer number (3451965478038).

Almost surely, 2^{101001111100000} is an apocalyptic number.

101001111100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001111100000 is an abundant number, since it is smaller than the sum of its proper divisors (147540403318736).

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

101001111100000 is an frugal number, since it uses more digits than its factorization.

101001111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010011146 (or 1010011118 counting only the distinct ones).

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

Adding to 101001111100000 its reverse (1111100101), we get a palindrome (101002222200101).

The spelling of 101001111100000 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred thousand".