122753101 has 2 divisors, whose sum is σ = 122753102. Its totient is φ = 122753100.

The previous prime is 122753083. The next prime is 122753117. The reversal of 122753101 is 101357221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100200100 + 22553001 = 10010^2 + 4749^2 .

It is a cyclic number.

It is not a de Polignac number, because 122753101 - 2⁵ = 122753069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122753131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61376550 + 61376551.

It is an arithmetic number, because the mean of its divisors is an integer number (61376551).

Almost surely, 2^122753101 is an apocalyptic number.

It is an amenable number.

122753101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122753101 is an equidigital number, since it uses as much as digits as its factorization.

122753101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 122753101 is about 11079.3998483672. The cubic root of 122753101 is about 496.9860028149.

It can be divided in two parts, 12275 and 3101, that added together give a square (15376 = 124²).

The spelling of 122753101 in words is "one hundred twenty-two million, seven hundred fifty-three thousand, one hundred one".