100110011112012 has 48 divisors (see below), whose sum is σ = 254826889898112. Its totient is φ = 30336199495680.

The previous prime is 100110011111989. The next prime is 100110011112047. The reversal of 100110011112012 is 210211110011001.

It is a super-2 number, since 2×100110011112012² (a number of 29 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23041003 + ... + 27039005.

It is an arithmetic number, because the mean of its divisors is an integer number (5308893539544).

Almost surely, 2^{100110011112012} is an apocalyptic number.

100110011112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110011112012 is an abundant number, since it is smaller than the sum of its proper divisors (154716878786100).

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

100110011112012 is a wasteful number, since it uses less digits than its factorization.

100110011112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187718 (or 4187716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110011112012 its reverse (210211110011001), we get a palindrome (310321121123013).

The spelling of 100110011112012 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred twelve thousand, twelve".