100011011000112 has 60 divisors (see below), whose sum is σ = 289543372375920. Its totient is φ = 32187451814784.

The previous prime is 100011011000101. The next prime is 100011011000113. The reversal of 100011011000112 is 211000110110001.

100011011000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011011000094 and 100011011000103.

It is not an unprimeable number, because it can be changed into a prime (100011011000113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11974494268 + ... + 11974502619.

It is an arithmetic number, because the mean of its divisors is an integer number (4825722872932).

Almost surely, 2^{100011011000112} is an apocalyptic number.

100011011000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011011000112 is an abundant number, since it is smaller than the sum of its proper divisors (189532361375808).

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

100011011000112 is a wasteful number, since it uses less digits than its factorization.

100011011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23948996930 (or 23948996921 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011011000112 its reverse (211000110110001), we get a palindrome (311011121110113).

The spelling of 100011011000112 in words is "one hundred trillion, eleven billion, eleven million, one hundred twelve", and thus it is an aban number.