1000110112011 has 12 divisors (see below), whose sum is σ = 1444696058520. Its totient is φ = 666697353120.

The previous prime is 1000110112007. The next prime is 1000110112037. The reversal of 1000110112011 is 1102110110001.

It is not a de Polignac number, because 1000110112011 - 2² = 1000110112007 is a prime.

It is a super-2 number, since 2×1000110112011² (a number of 25 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 = 1000110111984 and 1000110112002.

It is not an unprimeable number, because it can be changed into a prime (1000110112051) 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, 3411541 + ... + 3693078.

It is an arithmetic number, because the mean of its divisors is an integer number (120391338210).

Almost surely, 2^{1000110112011} is an apocalyptic number.

1000110112011 is a deficient number, since it is larger than the sum of its proper divisors (444585946509).

1000110112011 is a wasteful number, since it uses less digits than its factorization.

1000110112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120266 (or 7120263 counting only the distinct ones).

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

Adding to 1000110112011 its reverse (1102110110001), we get a palindrome (2102220222012).

The spelling of 1000110112011 in words is "one trillion, one hundred ten million, one hundred twelve thousand, eleven".