102102013 has 8 divisors (see below), whose sum is σ = 112638456. Its totient is φ = 91948800.

The previous prime is 102101971. The next prime is 102102019. The reversal of 102102013 is 310201201.

It can be written as a sum of positive squares in 4 ways, for example, as 9903609 + 92198404 = 3147^2 + 9602^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102102013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95248 + ... + 96313.

It is an arithmetic number, because the mean of its divisors is an integer number (14079807).

Almost surely, 2^102102013 is an apocalyptic number.

102102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102102013 is a deficient number, since it is larger than the sum of its proper divisors (10536443).

102102013 is a wasteful number, since it uses less digits than its factorization.

102102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191615.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102102013 is about 10104.5540722983. The cubic root of 102102013 is about 467.3885850771.

Adding to 102102013 its reverse (310201201), we get a palindrome (412303214).

The spelling of 102102013 in words is "one hundred two million, one hundred two thousand, thirteen".