110100110002000 has 80 divisors (see below), whose sum is σ = 267917748697872. Its totient is φ = 43759534041600.

The previous prime is 110100110001983. The next prime is 110100110002013. The reversal of 110100110002000 is 200011001011.

It can be written as a sum of positive squares in 8 ways, for example, as 21490344949824 + 88609765052176 = 4635768^2 + 9413276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 175004647 + ... + 175632646.

Almost surely, 2^{110100110002000} is an apocalyptic number.

110100110002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100110002000 is an abundant number, since it is smaller than the sum of its proper divisors (157817638695872).

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

110100110002000 is a wasteful number, since it uses less digits than its factorization.

110100110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350637473 (or 350637457 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110100110002000 its reverse (200011001011), we get a palindrome (110300121003011).

The spelling of 110100110002000 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, two thousand".