101001100111000 has 64 divisors (see below), whose sum is σ = 250245078670080. Its totient is φ = 38023943564800.

The previous prime is 101001100110991. The next prime is 101001100111001. The reversal of 101001100111000 is 111001100101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100111001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970603592 + ... + 2970637591.

It is an arithmetic number, because the mean of its divisors is an integer number (3910079354220).

Almost surely, 2^{101001100111000} is an apocalyptic number.

101001100111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001100111000 is an abundant number, since it is smaller than the sum of its proper divisors (149243978559080).

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

101001100111000 is a wasteful number, since it uses less digits than its factorization.

101001100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941241221 (or 5941241207 counting only the distinct ones).

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

Adding to 101001100111000 its reverse (111001100101), we get a palindrome (101112101211101).

It can be divided in two parts, 101001 and 100111000, that added together give a palindrome (100212001).

The spelling of 101001100111000 in words is "one hundred one trillion, one billion, one hundred million, one hundred eleven thousand".