10010120011011 has 40 divisors (see below), whose sum is σ = 16131736250784. Its totient is φ = 6162352784640.

The previous prime is 10010120011007. The next prime is 10010120011097. The reversal of 10010120011011 is 11011002101001.

It is not a de Polignac number, because 10010120011011 - 2² = 10010120011007 is a prime.

It is a super-2 number, since 2×10010120011011² (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 = 10010120010984 and 10010120011002.

It is not an unprimeable number, because it can be changed into a prime (10010120011511) 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, 68507335 + ... + 68653296.

Almost surely, 2^{10010120011011} is an apocalyptic number.

10010120011011 is a deficient number, since it is larger than the sum of its proper divisors (6121616239773).

10010120011011 is a wasteful number, since it uses less digits than its factorization.

10010120011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137160713 (or 137160704 counting only the distinct ones).

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

Adding to 10010120011011 its reverse (11011002101001), we get a palindrome (21021122112012).

The spelling of 10010120011011 in words is "ten trillion, ten billion, one hundred twenty million, eleven thousand, eleven".