102100213313093 has 2 divisors, whose sum is σ = 102100213313094. Its totient is φ = 102100213313092.

The previous prime is 102100213313083. The next prime is 102100213313129. The reversal of 102100213313093 is 390313312001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79384856793124 + 22715356519969 = 8909818^2 + 4766063^2 .

It is an emirp because it is prime and its reverse (390313312001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100213313093 - 2¹⁴ = 102100213296709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100213313023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050106656546 + 51050106656547.

It is an arithmetic number, because the mean of its divisors is an integer number (51050106656547).

Almost surely, 2^{102100213313093} is an apocalyptic number.

It is an amenable number.

102100213313093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100213313093 is an equidigital number, since it uses as much as digits as its factorization.

102100213313093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

Adding to 102100213313093 its reverse (390313312001201), we get a palindrome (492413525314294).

The spelling of 102100213313093 in words is "one hundred two trillion, one hundred billion, two hundred thirteen million, three hundred thirteen thousand, ninety-three".