10202220102013 has 2 divisors, whose sum is σ = 10202220102014. Its totient is φ = 10202220102012.

The previous prime is 10202220101999. The next prime is 10202220102037. The reversal of 10202220102013 is 31020102220201.

It is a happy number.

10202220102013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10074955247449 + 127264854564 = 3174107^2 + 356742^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202220102013 - 2²⁹ = 10201683231101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202220102043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101110051006 + 5101110051007.

It is an arithmetic number, because the mean of its divisors is an integer number (5101110051007).

Almost surely, 2^{10202220102013} is an apocalyptic number.

It is an amenable number.

10202220102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202220102013 is an equidigital number, since it uses as much as digits as its factorization.

10202220102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10202220102013 its reverse (31020102220201), we get a palindrome (41222322322214).

The spelling of 10202220102013 in words is "ten trillion, two hundred two billion, two hundred twenty million, one hundred two thousand, thirteen".