102201211301213 has 2 divisors, whose sum is σ = 102201211301214. Its totient is φ = 102201211301212.

The previous prime is 102201211301209. The next prime is 102201211301219. The reversal of 102201211301213 is 312103112102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91939965092089 + 10261246209124 = 9588533^2 + 3203318^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201211301213 - 2² = 102201211301209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201211301219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100605650606 + 51100605650607.

It is an arithmetic number, because the mean of its divisors is an integer number (51100605650607).

Almost surely, 2^{102201211301213} is an apocalyptic number.

It is an amenable number.

102201211301213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201211301213 is an equidigital number, since it uses as much as digits as its factorization.

102201211301213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102201211301213 its reverse (312103112102201), we get a palindrome (414304323403414).

The spelling of 102201211301213 in words is "one hundred two trillion, two hundred one billion, two hundred eleven million, three hundred one thousand, two hundred thirteen".