10102201120013 has 2 divisors, whose sum is σ = 10102201120014. Its totient is φ = 10102201120012.

The previous prime is 10102201120001. The next prime is 10102201120031. The reversal of 10102201120013 is 31002110220101.

Together with next prime (10102201120031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8115279705289 + 1986921414724 = 2848733^2 + 1409582^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102201120013 - 2⁶ = 10102201119949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102201120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102201170013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100560006 + 5051100560007.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100560007).

Almost surely, 2^{10102201120013} is an apocalyptic number.

It is an amenable number.

10102201120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102201120013 is an equidigital number, since it uses as much as digits as its factorization.

10102201120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10102201120013 its reverse (31002110220101), we get a palindrome (41104311340114).

The spelling of 10102201120013 in words is "ten trillion, one hundred two billion, two hundred one million, one hundred twenty thousand, thirteen".