102102121013 has 2 divisors, whose sum is σ = 102102121014. Its totient is φ = 102102121012.

The previous prime is 102102120977. The next prime is 102102121039. The reversal of 102102121013 is 310121201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89950806724 + 12151314289 = 299918^2 + 110233^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102121013 - 2⁶ = 102102120949 is a prime.

It is a super-2 number, since 2×102102121013² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102121073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051060506 + 51051060507.

It is an arithmetic number, because the mean of its divisors is an integer number (51051060507).

Almost surely, 2^102102121013 is an apocalyptic number.

It is an amenable number.

102102121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102121013 is an equidigital number, since it uses as much as digits as its factorization.

102102121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102102121013 its reverse (310121201201), we get a palindrome (412223322214).

The spelling of 102102121013 in words is "one hundred two billion, one hundred two million, one hundred twenty-one thousand, thirteen".