2101122212101 has 48 divisors (see below), whose sum is σ = 2382441691392. Its totient is φ = 1851018301440.

The previous prime is 2101122212093. The next prime is 2101122212107. The reversal of 2101122212101 is 1012122211012.

It is not a de Polignac number, because 2101122212101 - 2³ = 2101122212093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110071780 + ... + 110090866.

It is an arithmetic number, because the mean of its divisors is an integer number (49634201904).

Almost surely, 2^{2101122212101} is an apocalyptic number.

It is an amenable number.

2101122212101 is a deficient number, since it is larger than the sum of its proper divisors (281319479291).

2101122212101 is a wasteful number, since it uses less digits than its factorization.

2101122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101122212101 its reverse (1012122211012), we get a palindrome (3113244423113).

The spelling of 2101122212101 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred one".