100110111011000 has 128 divisors (see below), whose sum is σ = 235295451892800. Its totient is φ = 39866880499200.

The previous prime is 100110111010993. The next prime is 100110111011023. The reversal of 100110111011000 is 110111011001.

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 31 ways as a sum of consecutive naturals, for example, 340285967 + ... + 340580033.

Almost surely, 2^{100110111011000} is an apocalyptic number.

100110111011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110111011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117647725946400).

100110111011000 is an abundant number, since it is smaller than the sum of its proper divisors (135185340881800).

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

100110111011000 is a wasteful number, since it uses less digits than its factorization.

100110111011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295594 (or 295580 counting only the distinct ones).

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

Adding to 100110111011000 its reverse (110111011001), we get a palindrome (100220222022001).

Subtracting from 100110111011000 its reverse (110111011001), we obtain a palindrome (99999999999999).

It can be divided in two parts, 10011011 and 1011000, that added together give a palindrome (11022011).

The spelling of 100110111011000 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, eleven thousand".