2122198756901 has 2 divisors, whose sum is σ = 2122198756902. Its totient is φ = 2122198756900.

The previous prime is 2122198756861. The next prime is 2122198756921. The reversal of 2122198756901 is 1096578912212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1611439830625 + 510758926276 = 1269425^2 + 714674^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122198756901 - 2¹⁴ = 2122198740517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122198756921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061099378450 + 1061099378451.

It is an arithmetic number, because the mean of its divisors is an integer number (1061099378451).

Almost surely, 2^{2122198756901} is an apocalyptic number.

It is an amenable number.

2122198756901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122198756901 is an equidigital number, since it uses as much as digits as its factorization.

2122198756901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 2122198756901 in words is "two trillion, one hundred twenty-two billion, one hundred ninety-eight million, seven hundred fifty-six thousand, nine hundred one".