91221322311001 has 2 divisors, whose sum is σ = 91221322311002. Its totient is φ = 91221322311000.

The previous prime is 91221322310983. The next prime is 91221322311013. The reversal of 91221322311001 is 10011322312219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58377545870400 + 32843776440601 = 7640520^2 + 5730949^2 .

It is an emirp because it is prime and its reverse (10011322312219) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91221322311001 - 2¹⁹ = 91221321786713 is a prime.

It is not a weakly prime, because it can be changed into another prime (91221322315001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45610661155500 + 45610661155501.

It is an arithmetic number, because the mean of its divisors is an integer number (45610661155501).

Almost surely, 2^{91221322311001} is an apocalyptic number.

It is an amenable number.

91221322311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

91221322311001 is an equidigital number, since it uses as much as digits as its factorization.

91221322311001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 91221322311001 in words is "ninety-one trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred eleven thousand, one".