102121013 has 2 divisors, whose sum is σ = 102121014. Its totient is φ = 102121012.

The previous prime is 102121007. The next prime is 102121021. The reversal of 102121013 is 310121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87198244 + 14922769 = 9338^2 + 3863^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121013 - 2⁸ = 102120757 is a prime.

It is a super-2 number, since 2×102121013² = 20857402592292338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120985 and 102121003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060506 + 51060507.

It is an arithmetic number, because the mean of its divisors is an integer number (51060507).

Almost surely, 2^102121013 is an apocalyptic number.

It is an amenable number.

102121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121013 is an equidigital number, since it uses as much as digits as its factorization.

102121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102121013 is about 10105.4941987020. The cubic root of 102121013 is about 467.4175751432.

Adding to 102121013 its reverse (310121201), we get a palindrome (412242214).

The spelling of 102121013 in words is "one hundred two million, one hundred twenty-one thousand, thirteen".