100111100011000 has 64 divisors (see below), whose sum is σ = 252279972060480. Its totient is φ = 36964098460800.

The previous prime is 100111100010847. The next prime is 100111100011067. The reversal of 100111100011000 is 110001111001.

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 15 ways as a sum of consecutive naturals, for example, 3850413924 + ... + 3850439923.

It is an arithmetic number, because the mean of its divisors is an integer number (3941874563445).

Almost surely, 2^{100111100011000} is an apocalyptic number.

100111100011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111100011000 is an abundant number, since it is smaller than the sum of its proper divisors (152168872049480).

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

100111100011000 is a wasteful number, since it uses less digits than its factorization.

100111100011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700853881 (or 7700853867 counting only the distinct ones).

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

Adding to 100111100011000 its reverse (110001111001), we get a palindrome (100221101122001).

It can be divided in two parts, 10011110001 and 1000, that added together give a palindrome (10011111001).

The spelling of 100111100011000 in words is "one hundred trillion, one hundred eleven billion, one hundred million, eleven thousand".