100102202110213 has 2 divisors, whose sum is σ = 100102202110214. Its totient is φ = 100102202110212.

The previous prime is 100102202110177. The next prime is 100102202110223. The reversal of 100102202110213 is 312011202201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62779364295649 + 37322837814564 = 7923343^2 + 6109242^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102202110213 - 2⁴⁵ = 64917830021381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102202110223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051101055106 + 50051101055107.

It is an arithmetic number, because the mean of its divisors is an integer number (50051101055107).

Almost surely, 2^{100102202110213} is an apocalyptic number.

It is an amenable number.

100102202110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102202110213 is an equidigital number, since it uses as much as digits as its factorization.

100102202110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100102202110213 its reverse (312011202201001), we get a palindrome (412113404311214).

The spelling of 100102202110213 in words is "one hundred trillion, one hundred two billion, two hundred two million, one hundred ten thousand, two hundred thirteen".