211211202091121 has 2 divisors, whose sum is σ = 211211202091122. Its totient is φ = 211211202091120.

The previous prime is 211211202091067. The next prime is 211211202091133. The reversal of 211211202091121 is 121190202112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209541837313600 + 1669364777521 = 14475560^2 + 1292039^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211202091121 - 2²² = 211211197896817 is a prime.

It is a super-2 number, since 2×211211202091121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211202391121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605601045560 + 105605601045561.

It is an arithmetic number, because the mean of its divisors is an integer number (105605601045561).

Almost surely, 2^{211211202091121} is an apocalyptic number.

It is an amenable number.

211211202091121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211202091121 is an equidigital number, since it uses as much as digits as its factorization.

211211202091121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 211211202091121 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred two million, ninety-one thousand, one hundred twenty-one".