2100110122011 has 32 divisors (see below), whose sum is σ = 3068987166720. Its totient is φ = 1266846796800.

The previous prime is 2100110122009. The next prime is 2100110122021. The reversal of 2100110122011 is 1102210110012.

It is not a de Polignac number, because 2100110122011 - 2¹ = 2100110122009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100110122021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25584811 + ... + 25666763.

It is an arithmetic number, because the mean of its divisors is an integer number (95905848960).

Almost surely, 2^{2100110122011} is an apocalyptic number.

2100110122011 is a deficient number, since it is larger than the sum of its proper divisors (968877044709).

2100110122011 is a wasteful number, since it uses less digits than its factorization.

2100110122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85587.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100110122011 its reverse (1102210110012), we get a palindrome (3202320232023).

The spelling of 2100110122011 in words is "two trillion, one hundred billion, one hundred ten million, one hundred twenty-two thousand, eleven".