2101100011011 has 6 divisors (see below), whose sum is σ = 3034922238140. Its totient is φ = 1400733340668.

The previous prime is 2101100011001. The next prime is 2101100011013. The reversal of 2101100011011 is 1101100011012.

It is not a de Polignac number, because 2101100011011 - 2¹³ = 2101100002819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233455556779 = 2101100011011 / (2 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101100010984 and 2101100011002.

It is not an unprimeable number, because it can be changed into a prime (2101100011013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116727778381 + ... + 116727778398.

Almost surely, 2^{2101100011011} is an apocalyptic number.

2101100011011 is a deficient number, since it is larger than the sum of its proper divisors (933822227129).

2101100011011 is a wasteful number, since it uses less digits than its factorization.

2101100011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233455556785 (or 233455556782 counting only the distinct ones).

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

Adding to 2101100011011 its reverse (1101100011012), we get a palindrome (3202200022023).

Subtracting from 2101100011011 its reverse (1101100011012), we obtain a palindrome (999999999999).

It can be divided in two parts, 210110001 and 1011, that added together give a palindrome (210111012).

The spelling of 2101100011011 in words is "two trillion, one hundred one billion, one hundred million, eleven thousand, eleven".