122736170101 has 2 divisors, whose sum is σ = 122736170102. Its totient is φ = 122736170100.

The previous prime is 122736170057. The next prime is 122736170131. The reversal of 122736170101 is 101071637221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112460293201 + 10275876900 = 335351^2 + 101370^2 .

It is a cyclic number.

It is not a de Polignac number, because 122736170101 - 2¹⁵ = 122736137333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122736170131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61368085050 + 61368085051.

It is an arithmetic number, because the mean of its divisors is an integer number (61368085051).

Almost surely, 2^122736170101 is an apocalyptic number.

It is an amenable number.

122736170101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122736170101 is an equidigital number, since it uses as much as digits as its factorization.

122736170101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 122736170101 in words is "one hundred twenty-two billion, seven hundred thirty-six million, one hundred seventy thousand, one hundred one".