102509101 has 2 divisors, whose sum is σ = 102509102. Its totient is φ = 102509100.

The previous prime is 102509093. The next prime is 102509149. The reversal of 102509101 is 101905201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88266025 + 14243076 = 9395^2 + 3774^2 .

It is an emirp because it is prime and its reverse (101905201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102509101 - 2³ = 102509093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102509501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51254550 + 51254551.

It is an arithmetic number, because the mean of its divisors is an integer number (51254551).

Almost surely, 2^102509101 is an apocalyptic number.

It is an amenable number.

102509101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102509101 is an equidigital number, since it uses as much as digits as its factorization.

102509101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 102509101 is about 10124.6778220346. The cubic root of 102509101 is about 468.0089318796.

The spelling of 102509101 in words is "one hundred two million, five hundred nine thousand, one hundred one".