10111005106011 has 40 divisors (see below), whose sum is σ = 15482379838464. Its totient is φ = 6572906786160.

The previous prime is 10111005105967. The next prime is 10111005106031. The reversal of 10111005106011 is 11060150011101.

It is a happy number.

10111005106011 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 10 + 0 + 51 + 0 + 601 + 1 = 666.

It is not a de Polignac number, because 10111005106011 - 2⁹ = 10111005105499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111005106031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3868485 + ... + 5931878.

Almost surely, 2^{10111005106011} is an apocalyptic number.

10111005106011 is a deficient number, since it is larger than the sum of its proper divisors (5371374732453).

10111005106011 is an equidigital number, since it uses as much as digits as its factorization.

10111005106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800693 (or 9800684 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 10111005106011 its reverse (11060150011101), we get a palindrome (21171155117112).

The spelling of 10111005106011 in words is "ten trillion, one hundred eleven billion, five million, one hundred six thousand, eleven".