101100110111000 has 256 divisors, whose sum is σ = 317638167275520. Its totient is φ = 29087743680000.

The previous prime is 101100110110997. The next prime is 101100110111051. The reversal of 101100110111000 is 111011001101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49498556 + ... + 51500555.

It is an arithmetic number, because the mean of its divisors is an integer number (1240774090920).

Almost surely, 2^{101100110111000} is an apocalyptic number.

101100110111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110111000 is an abundant number, since it is smaller than the sum of its proper divisors (216538057164520).

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

101100110111000 is a wasteful number, since it uses less digits than its factorization.

101100110111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100999163 (or 100999149 counting only the distinct ones).

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

Adding to 101100110111000 its reverse (111011001101), we get a palindrome (101211121112101).

The spelling of 101100110111000 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred eleven thousand".