100110110100200 has 24 divisors (see below), whose sum is σ = 232756005983430. Its totient is φ = 40044044040000.

The previous prime is 100110110100167. The next prime is 100110110100263. The reversal of 100110110100200 is 2001011011001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 81378404916004 + 18731705184196 = 9020998^2 + 4328014^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250275275051 + ... + 250275275450.

Almost surely, 2^{100110110100200} is an apocalyptic number.

100110110100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110110100200 is an abundant number, since it is smaller than the sum of its proper divisors (132645895883230).

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

100110110100200 is a wasteful number, since it uses less digits than its factorization.

100110110100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500550550517 (or 500550550508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100110110100200 its reverse (2001011011001), we get a palindrome (102111121111201).

The spelling of 100110110100200 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred thousand, two hundred".