10112112011 has 16 divisors (see below), whose sum is σ = 10391905920. Its totient is φ = 9836484480.

The previous prime is 10112111981. The next prime is 10112112013. The reversal of 10112112011 is 11021121101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112112011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112111983 and 10112112001.

It is not an unprimeable number, because it can be changed into a prime (10112112013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315516 + ... + 2319878.

It is an arithmetic number, because the mean of its divisors is an integer number (649494120).

Almost surely, 2^10112112011 is an apocalyptic number.

10112112011 is a deficient number, since it is larger than the sum of its proper divisors (279793909).

10112112011 is a wasteful number, since it uses less digits than its factorization.

10112112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10112112011 its reverse (11021121101), we get a palindrome (21133233112).

The spelling of 10112112011 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, eleven".