102100120313 has 2 divisors, whose sum is σ = 102100120314. Its totient is φ = 102100120312.

The previous prime is 102100120301. The next prime is 102100120321. The reversal of 102100120313 is 313021001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67328313529 + 34771806784 = 259477^2 + 186472^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100120313 - 2¹⁸ = 102099858169 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100125313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050060156 + 51050060157.

It is an arithmetic number, because the mean of its divisors is an integer number (51050060157).

Almost surely, 2^102100120313 is an apocalyptic number.

It is an amenable number.

102100120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100120313 is an equidigital number, since it uses as much as digits as its factorization.

102100120313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102100120313 its reverse (313021001201), we get a palindrome (415121121514).

The spelling of 102100120313 in words is "one hundred two billion, one hundred million, one hundred twenty thousand, three hundred thirteen".