10110020011011 has 16 divisors (see below), whose sum is σ = 15766113078400. Its totient is φ = 6385275796104.

The previous prime is 10110020010983. The next prime is 10110020011033. The reversal of 10110020011011 is 11011002001101.

It is not a de Polignac number, because 10110020011011 - 2²⁵ = 10109986456579 is a prime.

It is a super-2 number, since 2×10110020011011² (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10110020010984 and 10110020011002.

It is not an unprimeable number, because it can be changed into a prime (10110020012011) 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, 9853820161 + ... + 9853821186.

It is an arithmetic number, because the mean of its divisors is an integer number (985382067400).

Almost surely, 2^{10110020011011} is an apocalyptic number.

10110020011011 is a deficient number, since it is larger than the sum of its proper divisors (5656093067389).

10110020011011 is a wasteful number, since it uses less digits than its factorization.

10110020011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19707641375 (or 19707641369 counting only the distinct ones).

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

Adding to 10110020011011 its reverse (11011002001101), we get a palindrome (21121022012112).

The spelling of 10110020011011 in words is "ten trillion, one hundred ten billion, twenty million, eleven thousand, eleven".