122000199999101 has 2 divisors, whose sum is σ = 122000199999102. Its totient is φ = 122000199999100.

The previous prime is 122000199999071. The next prime is 122000199999107. The reversal of 122000199999101 is 101999991000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97276283539876 + 24723916459225 = 9862874^2 + 4972315^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000199999101 - 2³⁴ = 121983020129917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000199999107) 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, 61000099999550 + 61000099999551.

It is an arithmetic number, because the mean of its divisors is an integer number (61000099999551).

Almost surely, 2^{122000199999101} is an apocalyptic number.

It is an amenable number.

122000199999101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000199999101 is an equidigital number, since it uses as much as digits as its factorization.

122000199999101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 236196, while the sum is 53.

The spelling of 122000199999101 in words is "one hundred twenty-two trillion, one hundred ninety-nine million, nine hundred ninety-nine thousand, one hundred one".