2122101220211 has 8 divisors (see below), whose sum is σ = 2425392519264. Its totient is φ = 1818843416640.

The previous prime is 2122101220153. The next prime is 2122101220219. The reversal of 2122101220211 is 1120221012212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122101220211 - 2¹⁰ = 2122101219187 is a prime.

It is a super-2 number, since 2×2122101220211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122101220211.

It is not an unprimeable number, because it can be changed into a prime (2122101220219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8237960 + ... + 8491653.

It is an arithmetic number, because the mean of its divisors is an integer number (303174064908).

Almost surely, 2^{2122101220211} is an apocalyptic number.

2122101220211 is a deficient number, since it is larger than the sum of its proper divisors (303291299053).

2122101220211 is a wasteful number, since it uses less digits than its factorization.

2122101220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16747741.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122101220211 its reverse (1120221012212), we get a palindrome (3242322232423).

The spelling of 2122101220211 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty thousand, two hundred eleven".