102212010013 has 2 divisors, whose sum is σ = 102212010014. Its totient is φ = 102212010012.

The previous prime is 102212009951. The next prime is 102212010031. The reversal of 102212010013 is 310010212201.

Together with next prime (102212010031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53230795524 + 48981214489 = 230718^2 + 221317^2 .

It is an emirp because it is prime and its reverse (310010212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212010013 - 2¹⁷ = 102211878941 is a prime.

It is a super-2 number, since 2×102212010013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212009975 and 102212010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212016013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106005006 + 51106005007.

It is an arithmetic number, because the mean of its divisors is an integer number (51106005007).

Almost surely, 2^102212010013 is an apocalyptic number.

It is an amenable number.

102212010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212010013 is an equidigital number, since it uses as much as digits as its factorization.

102212010013 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 102212010013 its reverse (310010212201), we get a palindrome (412222222214).

The spelling of 102212010013 in words is "one hundred two billion, two hundred twelve million, ten thousand, thirteen".