10011000110112 has 120 divisors (see below), whose sum is σ = 29941091888400. Its totient is φ = 3280440663936.

The previous prime is 10011000110087. The next prime is 10011000110129. The reversal of 10011000110112 is 21101100011001.

It is a super-2 number, since 2×10011000110112² (a number of 27 digits) contains 22 as substring.

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 = 10011000110094 and 10011000110103.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32578162 + ... + 32884017.

It is an arithmetic number, because the mean of its divisors is an integer number (249509099070).

Almost surely, 2^{10011000110112} is an apocalyptic number.

10011000110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011000110112 is an abundant number, since it is smaller than the sum of its proper divisors (19930091778288).

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

10011000110112 is an equidigital number, since it uses as much as digits as its factorization.

10011000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65462260 (or 65462243 counting only the distinct ones).

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

Adding to 10011000110112 its reverse (21101100011001), we get a palindrome (31112100121113).

The spelling of 10011000110112 in words is "ten trillion, eleven billion, one hundred ten thousand, one hundred twelve".