2102100112011 has 16 divisors (see below), whose sum is σ = 2900918230560. Its totient is φ = 1352390027520.

The previous prime is 2102100111997. The next prime is 2102100112033. The reversal of 2102100112011 is 1102110012012.

It is not a de Polignac number, because 2102100112011 - 2¹³ = 2102100103819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102101112011) 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, 5951530 + ... + 6294831.

It is an arithmetic number, because the mean of its divisors is an integer number (181307389410).

Almost surely, 2^{2102100112011} is an apocalyptic number.

2102100112011 is a deficient number, since it is larger than the sum of its proper divisors (798818118549).

2102100112011 is a wasteful number, since it uses less digits than its factorization.

2102100112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248366.

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

Adding to 2102100112011 its reverse (1102110012012), we get a palindrome (3204210124023).

Subtracting from 2102100112011 its reverse (1102110012012), we obtain a palindrome (999990099999).

It can be divided in two parts, 21021001 and 12011, that added together give a palindrome (21033012).

The spelling of 2102100112011 in words is "two trillion, one hundred two billion, one hundred million, one hundred twelve thousand, eleven".