252117101 has 2 divisors, whose sum is σ = 252117102. Its totient is φ = 252117100.

The previous prime is 252117083. The next prime is 252117119. The reversal of 252117101 is 101711252.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (252117083) and next prime (252117119).

It can be written as a sum of positive squares in only one way, i.e., 251983876 + 133225 = 15874^2 + 365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252117101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252117161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126058550 + 126058551.

It is an arithmetic number, because the mean of its divisors is an integer number (126058551).

Almost surely, 2^252117101 is an apocalyptic number.

It is an amenable number.

252117101 is a deficient number, since it is larger than the sum of its proper divisors (1).

252117101 is an equidigital number, since it uses as much as digits as its factorization.

252117101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 252117101 is about 15878.1957728200. The cubic root of 252117101 is about 631.7337821844.

Adding to 252117101 its reverse (101711252), we get a palindrome (353828353).

The spelling of 252117101 in words is "two hundred fifty-two million, one hundred seventeen thousand, one hundred one".