2110011010011 has 12 divisors (see below), whose sum is σ = 3122130112920. Its totient is φ = 1372364884320.

The previous prime is 2110011010001. The next prime is 2110011010049. The reversal of 2110011010011 is 1100101100112.

It is not a de Polignac number, because 2110011010011 - 2¹⁴ = 2110010993627 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 = 2110011009975 and 2110011010002.

It is not an unprimeable number, because it can be changed into a prime (2110011010001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2859093141 + ... + 2859093878.

It is an arithmetic number, because the mean of its divisors is an integer number (260177509410).

Almost surely, 2^{2110011010011} is an apocalyptic number.

2110011010011 is a deficient number, since it is larger than the sum of its proper divisors (1012119102909).

2110011010011 is a wasteful number, since it uses less digits than its factorization.

2110011010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718187066 (or 5718187063 counting only the distinct ones).

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

Adding to 2110011010011 its reverse (1100101100112), we get a palindrome (3210112110123).

The spelling of 2110011010011 in words is "two trillion, one hundred ten billion, eleven million, ten thousand, eleven".