1100123012100 has 144 divisors (see below), whose sum is σ = 3755086770176. Its totient is φ = 243345168000.

The previous prime is 1100123012099. The next prime is 1100123012111. The reversal of 1100123012100 is 12103210011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8384386 + ... + 8514585.

Almost surely, 2^{1100123012100} is an apocalyptic number.

1100123012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100123012100 is an abundant number, since it is smaller than the sum of its proper divisors (2654963758076).

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

1100123012100 is a wasteful number, since it uses less digits than its factorization.

1100123012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899026 (or 16899019 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1100123012100 its reverse (12103210011), we get a palindrome (1112226222111).

The spelling of 1100123012100 in words is "one trillion, one hundred billion, one hundred twenty-three million, twelve thousand, one hundred".