10200102013 has 2 divisors, whose sum is σ = 10200102014. Its totient is φ = 10200102012.

The previous prime is 10200101999. The next prime is 10200102037. The reversal of 10200102013 is 31020100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9879763609 + 320338404 = 99397^2 + 17898^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200102013 - 2⁵ = 10200101981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200102083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100051006 + 5100051007.

It is an arithmetic number, because the mean of its divisors is an integer number (5100051007).

Almost surely, 2^10200102013 is an apocalyptic number.

It is an amenable number.

10200102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200102013 is an equidigital number, since it uses as much as digits as its factorization.

10200102013 is an evil number, because the sum of its binary digits is even.

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

Adding to 10200102013 its reverse (31020100201), we get a palindrome (41220202214).

The spelling of 10200102013 in words is "ten billion, two hundred million, one hundred two thousand, thirteen".