102001221211013 has 2 divisors, whose sum is σ = 102001221211014. Its totient is φ = 102001221211012.

The previous prime is 102001221210971. The next prime is 102001221211033. The reversal of 102001221211013 is 310112122100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91596422642404 + 10404798568609 = 9570602^2 + 3225647^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102001221211013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001221210982 and 102001221211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001221211033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000610605506 + 51000610605507.

It is an arithmetic number, because the mean of its divisors is an integer number (51000610605507).

Almost surely, 2^{102001221211013} is an apocalyptic number.

It is an amenable number.

102001221211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001221211013 is an equidigital number, since it uses as much as digits as its factorization.

102001221211013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102001221211013 its reverse (310112122100201), we get a palindrome (412113343311214).

The spelling of 102001221211013 in words is "one hundred two trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, thirteen".