102100101210193 has 2 divisors, whose sum is σ = 102100101210194. Its totient is φ = 102100101210192.

The previous prime is 102100101210169. The next prime is 102100101210203. The reversal of 102100101210193 is 391012101001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70080890473489 + 32019210736704 = 8371433^2 + 5658552^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100101210193 - 2⁴¹ = 99901077954641 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100101250193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050050605096 + 51050050605097.

It is an arithmetic number, because the mean of its divisors is an integer number (51050050605097).

Almost surely, 2^{102100101210193} is an apocalyptic number.

It is an amenable number.

102100101210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100101210193 is an equidigital number, since it uses as much as digits as its factorization.

102100101210193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 102100101210193 its reverse (391012101001201), we get a palindrome (493112202211394).

The spelling of 102100101210193 in words is "one hundred two trillion, one hundred billion, one hundred one million, two hundred ten thousand, one hundred ninety-three".