91020122220101 has 2 divisors, whose sum is σ = 91020122220102. Its totient is φ = 91020122220100.

The previous prime is 91020122220091. The next prime is 91020122220103. The reversal of 91020122220101 is 10102222102019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87605369331076 + 3414752889025 = 9359774^2 + 1847905^2 .

It is an emirp because it is prime and its reverse (10102222102019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91020122220101 - 2²² = 91020118025797 is a prime.

Together with 91020122220103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91020122220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45510061110050 + 45510061110051.

It is an arithmetic number, because the mean of its divisors is an integer number (45510061110051).

Almost surely, 2^{91020122220101} is an apocalyptic number.

It is an amenable number.

91020122220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

91020122220101 is an equidigital number, since it uses as much as digits as its factorization.

91020122220101 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 23.

The spelling of 91020122220101 in words is "ninety-one trillion, twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".