212101122222113 has 2 divisors, whose sum is σ = 212101122222114. Its totient is φ = 212101122222112.

The previous prime is 212101122222107. The next prime is 212101122222131. The reversal of 212101122222113 is 311222221101212.

Together with next prime (212101122222131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129719867428369 + 82381254793744 = 11389463^2 + 9076412^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101122222113 - 2¹⁶ = 212101122156577 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101122222103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050561111056 + 106050561111057.

It is an arithmetic number, because the mean of its divisors is an integer number (106050561111057).

Almost surely, 2^{212101122222113} is an apocalyptic number.

It is an amenable number.

212101122222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101122222113 is an equidigital number, since it uses as much as digits as its factorization.

212101122222113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 212101122222113 its reverse (311222221101212), we get a palindrome (523323343323325).

The spelling of 212101122222113 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred thirteen".