102130101 has 24 divisors (see below), whose sum is σ = 160429464. Its totient is φ = 62346240.

The previous prime is 102130087. The next prime is 102130103. The reversal of 102130101 is 101031201.

It can be written as a sum of positive squares in 4 ways, for example, as 21399876 + 80730225 = 4626^2 + 8985^2 .

It is not a de Polignac number, because 102130101 - 2⁵ = 102130069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (6684561).

Almost surely, 2^102130101 is an apocalyptic number.

It is an amenable number.

102130101 is a deficient number, since it is larger than the sum of its proper divisors (58299363).

102130101 is a wasteful number, since it uses less digits than its factorization.

102130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101 (or 18098 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102130101 is about 10105.9438450844. The cubic root of 102130101 is about 467.4314402783.

Adding to 102130101 its reverse (101031201), we get a palindrome (203161302).

The spelling of 102130101 in words is "one hundred two million, one hundred thirty thousand, one hundred one".