2101212111111 has 16 divisors (see below), whose sum is σ = 2802698360928. Its totient is φ = 1400267088000.

The previous prime is 2101212111083. The next prime is 2101212111169. The reversal of 2101212111111 is 1111112121012.

It is not a de Polignac number, because 2101212111111 - 2²⁵ = 2101178556679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101212111181) 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, 134160621 + ... + 134176281.

It is an arithmetic number, because the mean of its divisors is an integer number (175168647558).

Almost surely, 2^{2101212111111} is an apocalyptic number.

2101212111111 is a deficient number, since it is larger than the sum of its proper divisors (701486249817).

2101212111111 is a wasteful number, since it uses less digits than its factorization.

2101212111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30082.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2101212111111 its reverse (1111112121012), we get a palindrome (3212324232123).

Subtracting from 2101212111111 its reverse (1111112121012), we obtain a palindrome (990099990099).

It can be divided in two parts, 210121 and 2111111, that added together give a palindrome (2321232).

The spelling of 2101212111111 in words is "two trillion, one hundred one billion, two hundred twelve million, one hundred eleven thousand, one hundred eleven".