122112201112091 has 2 divisors, whose sum is σ = 122112201112092. Its totient is φ = 122112201112090.

The previous prime is 122112201112021. The next prime is 122112201112129. The reversal of 122112201112091 is 190211102211221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122112201112091 - 2¹⁰ = 122112201111067 is a prime.

It is a super-2 number, since 2×122112201112091² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112201112091.

It is not a weakly prime, because it can be changed into another prime (122112201112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056100556045 + 61056100556046.

It is an arithmetic number, because the mean of its divisors is an integer number (61056100556046).

Almost surely, 2^{122112201112091} is an apocalyptic number.

122112201112091 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112201112091 is an equidigital number, since it uses as much as digits as its factorization.

122112201112091 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 122112201112091 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred twelve thousand, ninety-one".