2101122020221 has 12 divisors (see below), whose sum is σ = 2462820085440. Its totient is φ = 1787213926680.

The previous prime is 2101122020113. The next prime is 2101122020233. The reversal of 2101122020221 is 1220202211012.

It is a happy number.

It is not a de Polignac number, because 2101122020221 - 2¹³ = 2101122012029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101122020195 and 2101122020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163657861 + ... + 163670698.

It is an arithmetic number, because the mean of its divisors is an integer number (205235007120).

Almost surely, 2^{2101122020221} is an apocalyptic number.

It is an amenable number.

2101122020221 is a deficient number, since it is larger than the sum of its proper divisors (361698065219).

2101122020221 is a wasteful number, since it uses less digits than its factorization.

2101122020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327328704 (or 327328697 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2101122020221 its reverse (1220202211012), we get a palindrome (3321324231233).

The spelling of 2101122020221 in words is "two trillion, one hundred one billion, one hundred twenty-two million, twenty thousand, two hundred twenty-one".