102312201 has 16 divisors (see below), whose sum is σ = 139321280. Its totient is φ = 66769920.

The previous prime is 102312193. The next prime is 102312209. The reversal of 102312201 is 102213201.

102312201 = 788² + 789² + ... + 926².

It is an interprime number because it is at equal distance from previous prime (102312193) and next prime (102312209).

It is not a de Polignac number, because 102312201 - 2³ = 102312193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102312209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28761 + ... + 32121.

It is an arithmetic number, because the mean of its divisors is an integer number (8707580).

Almost surely, 2^102312201 is an apocalyptic number.

It is an amenable number.

102312201 is a deficient number, since it is larger than the sum of its proper divisors (37009079).

102312201 is a wasteful number, since it uses less digits than its factorization.

102312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102312201 is about 10114.9493819791. The cubic root of 102312201 is about 467.7090885090.

Adding to 102312201 its reverse (102213201), we get a palindrome (204525402).

The spelling of 102312201 in words is "one hundred two million, three hundred twelve thousand, two hundred one".