114815101 has 2 divisors, whose sum is σ = 114815102. Its totient is φ = 114815100.

The previous prime is 114815087. The next prime is 114815111. The reversal of 114815101 is 101518411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89302500 + 25512601 = 9450^2 + 5051^2 .

It is an emirp because it is prime and its reverse (101518411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114815101 - 2¹⁵ = 114782333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114815111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57407550 + 57407551.

It is an arithmetic number, because the mean of its divisors is an integer number (57407551).

Almost surely, 2^114815101 is an apocalyptic number.

It is an amenable number.

114815101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114815101 is an equidigital number, since it uses as much as digits as its factorization.

114815101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 22.

The square root of 114815101 is about 10715.1808664156. The cubic root of 114815101 is about 486.0336491009.

The spelling of 114815101 in words is "one hundred fourteen million, eight hundred fifteen thousand, one hundred one".