102210021013 has 2 divisors, whose sum is σ = 102210021014. Its totient is φ = 102210021012.

The previous prime is 102210020947. The next prime is 102210021061. The reversal of 102210021013 is 310120012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67629643249 + 34580377764 = 260057^2 + 185958^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210021013 - 2²¹ = 102207923861 is a prime.

It is a super-3 number, since 3×102210021013³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210020984 and 102210021002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210021083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105010506 + 51105010507.

It is an arithmetic number, because the mean of its divisors is an integer number (51105010507).

Almost surely, 2^102210021013 is an apocalyptic number.

It is an amenable number.

102210021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210021013 is an equidigital number, since it uses as much as digits as its factorization.

102210021013 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 13.

Adding to 102210021013 its reverse (310120012201), we get a palindrome (412330033214).

The spelling of 102210021013 in words is "one hundred two billion, two hundred ten million, twenty-one thousand, thirteen".