122201001102049 has 2 divisors, whose sum is σ = 122201001102050. Its totient is φ = 122201001102048.

The previous prime is 122201001101983. The next prime is 122201001102073. The reversal of 122201001102049 is 940201100102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120719267021824 + 1481734080225 = 10987232^2 + 1217265^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201001102049 - 2¹⁷ = 122201000970977 is a prime.

It is not a weakly prime, because it can be changed into another prime (122201001172049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100500551024 + 61100500551025.

It is an arithmetic number, because the mean of its divisors is an integer number (61100500551025).

Almost surely, 2^{122201001102049} is an apocalyptic number.

It is an amenable number.

122201001102049 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201001102049 is an equidigital number, since it uses as much as digits as its factorization.

122201001102049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122201001102049 in words is "one hundred twenty-two trillion, two hundred one billion, one million, one hundred two thousand, forty-nine".