10201002223213 has 2 divisors, whose sum is σ = 10201002223214. Its totient is φ = 10201002223212.

The previous prime is 10201002223199. The next prime is 10201002223231. The reversal of 10201002223213 is 31232220010201.

10201002223213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10201002223231) 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., 10155777096969 + 45225126244 = 3186813^2 + 212662^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201002223213 - 2²¹ = 10201000126061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201002223613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100501111606 + 5100501111607.

It is an arithmetic number, because the mean of its divisors is an integer number (5100501111607).

Almost surely, 2^{10201002223213} is an apocalyptic number.

It is an amenable number.

10201002223213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201002223213 is an equidigital number, since it uses as much as digits as its factorization.

10201002223213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10201002223213 its reverse (31232220010201), we get a palindrome (41433222233414).

The spelling of 10201002223213 in words is "ten trillion, two hundred one billion, two million, two hundred twenty-three thousand, two hundred thirteen".