10202111101213 has 2 divisors, whose sum is σ = 10202111101214. Its totient is φ = 10202111101212.

The previous prime is 10202111101187. The next prime is 10202111101223. The reversal of 10202111101213 is 31210111120201.

It is a happy number.

10202111101213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9397247333049 + 804863768164 = 3065493^2 + 897142^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202111101213 - 2²⁹ = 10201574230301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202111101223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101055550606 + 5101055550607.

It is an arithmetic number, because the mean of its divisors is an integer number (5101055550607).

Almost surely, 2^{10202111101213} is an apocalyptic number.

It is an amenable number.

10202111101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202111101213 is an equidigital number, since it uses as much as digits as its factorization.

10202111101213 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 16.

Adding to 10202111101213 its reverse (31210111120201), we get a palindrome (41412222221414).

The spelling of 10202111101213 in words is "ten trillion, two hundred two billion, one hundred eleven million, one hundred one thousand, two hundred thirteen".