100110100011000 has 64 divisors (see below), whose sum is σ = 312343512043680. Its totient is φ = 26696026668800.

The previous prime is 100110100010981. The next prime is 100110100011007. The reversal of 100110100011000 is 110001011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100110100011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100011007) 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, 16685013669 + ... + 16685019668.

Almost surely, 2^{100110100011000} is an apocalyptic number.

100110100011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110100011000 is an abundant number, since it is smaller than the sum of its proper divisors (212233412032680).

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

100110100011000 is a wasteful number, since it uses less digits than its factorization.

100110100011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33370033361 (or 33370033347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100110100011000 its reverse (110001011001), we get a palindrome (100220101022001).

It can be divided in two parts, 10011010001 and 1000, that added together give a palindrome (10011011001).

The spelling of 100110100011000 in words is "one hundred trillion, one hundred ten billion, one hundred million, eleven thousand".