1100110102100 has 36 divisors (see below), whose sum is σ = 2387292841500. Its totient is φ = 440034101760.

The previous prime is 1100110102097. The next prime is 1100110102111. The reversal of 1100110102100 is 12010110011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 197176850116 + 902933251984 = 444046^2 + 950228^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5669486 + ... + 5860314.

Almost surely, 2^{1100110102100} is an apocalyptic number.

1100110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100110102100 is an abundant number, since it is smaller than the sum of its proper divisors (1287182739400).

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

1100110102100 is a wasteful number, since it uses less digits than its factorization.

1100110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248492 (or 248485 counting only the distinct ones).

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

Adding to 1100110102100 its reverse (12010110011), we get a palindrome (1112120212111).

The spelling of 1100110102100 in words is "one trillion, one hundred billion, one hundred ten million, one hundred two thousand, one hundred".