22121121100997 has 2 divisors, whose sum is σ = 22121121100998. Its totient is φ = 22121121100996.

The previous prime is 22121121100973. The next prime is 22121121101003. The reversal of 22121121100997 is 79900112112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13073532358756 + 9047588742241 = 3615734^2 + 3007921^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121121100997 - 2¹⁴ = 22121121084613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22121121100997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121121100957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060560550498 + 11060560550499.

It is an arithmetic number, because the mean of its divisors is an integer number (11060560550499).

Almost surely, 2^{22121121100997} is an apocalyptic number.

It is an amenable number.

22121121100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121121100997 is an equidigital number, since it uses as much as digits as its factorization.

22121121100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 38.

The spelling of 22121121100997 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-seven".