2110110001011 has 12 divisors (see below), whose sum is σ = 3054463305192. Its totient is φ = 1403727706656.

The previous prime is 2110110000989. The next prime is 2110110001061. The reversal of 2110110001011 is 1101000110112.

It is not a de Polignac number, because 2110110001011 - 2⁵ = 2110110000979 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 = 2110110000984 and 2110110001002.

It is not an unprimeable number, because it can be changed into a prime (2110110001061) 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, 251020066 + ... + 251028471.

It is an arithmetic number, because the mean of its divisors is an integer number (254538608766).

Almost surely, 2^{2110110001011} is an apocalyptic number.

2110110001011 is a deficient number, since it is larger than the sum of its proper divisors (944353304181).

2110110001011 is a wasteful number, since it uses less digits than its factorization.

2110110001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502049010 (or 502049007 counting only the distinct ones).

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

Adding to 2110110001011 its reverse (1101000110112), we get a palindrome (3211110111123).

The spelling of 2110110001011 in words is "two trillion, one hundred ten billion, one hundred ten million, one thousand, eleven".