10111120011 has 24 divisors (see below), whose sum is σ = 15125819904. Its totient is φ = 6504387120.

The previous prime is 10111120001. The next prime is 10111120049. The reversal of 10111120011 is 11002111101.

It is not a de Polignac number, because 10111120011 - 2²⁵ = 10077565579 is a prime.

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 = 10111119975 and 10111120002.

It is not an unprimeable number, because it can be changed into a prime (10111120001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138301 + ... + 198366.

It is an arithmetic number, because the mean of its divisors is an integer number (630242496).

Almost surely, 2^10111120011 is an apocalyptic number.

10111120011 is a deficient number, since it is larger than the sum of its proper divisors (5014699893).

10111120011 is a wasteful number, since it uses less digits than its factorization.

10111120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336791 (or 336788 counting only the distinct ones).

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

Adding to 10111120011 its reverse (11002111101), we get a palindrome (21113231112).

The spelling of 10111120011 in words is "ten billion, one hundred eleven million, one hundred twenty thousand, eleven".