212211133362101 has 2 divisors, whose sum is σ = 212211133362102. Its totient is φ = 212211133362100.

The previous prime is 212211133361999. The next prime is 212211133362113. The reversal of 212211133362101 is 101263331112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171511135443076 + 40699997919025 = 13096226^2 + 6379655^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211133362101 - 2³⁰ = 212210059620277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212211133362601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105566681050 + 106105566681051.

It is an arithmetic number, because the mean of its divisors is an integer number (106105566681051).

Almost surely, 2^{212211133362101} is an apocalyptic number.

It is an amenable number.

212211133362101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211133362101 is an equidigital number, since it uses as much as digits as its factorization.

212211133362101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 212211133362101 its reverse (101263331112212), we get a palindrome (313474464474313).

The spelling of 212211133362101 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred thirty-three million, three hundred sixty-two thousand, one hundred one".