100011001000112 has 20 divisors (see below), whose sum is σ = 193787303864880. Its totient is φ = 50001374196288.

The previous prime is 100011001000111. The next prime is 100011001000133. The reversal of 100011001000112 is 211000100110001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100011001000112.

It is not an unprimeable number, because it can be changed into a prime (100011001000111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 257694023 + ... + 258081830.

It is an arithmetic number, because the mean of its divisors is an integer number (9689365193244).

Almost surely, 2^{100011001000112} is an apocalyptic number.

It is an amenable number.

100011001000112 is a deficient number, since it is larger than the sum of its proper divisors (93776302864768).

100011001000112 is a wasteful number, since it uses less digits than its factorization.

100011001000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515787980 (or 515787974 counting only the distinct ones).

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

Adding to 100011001000112 its reverse (211000100110001), we get a palindrome (311011101110113).

The spelling of 100011001000112 in words is "one hundred trillion, eleven billion, one million, one hundred twelve", and thus it is an aban number.