101221200102013 has 2 divisors, whose sum is σ = 101221200102014. Its totient is φ = 101221200102012.

The previous prime is 101221200101963. The next prime is 101221200102047. The reversal of 101221200102013 is 310201002122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81366930611044 + 19854269490969 = 9020362^2 + 4455813^2 .

It is an emirp because it is prime and its reverse (310201002122101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101221200102013 - 2⁹ = 101221200101501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221200202013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610600051006 + 50610600051007.

It is an arithmetic number, because the mean of its divisors is an integer number (50610600051007).

Almost surely, 2^{101221200102013} is an apocalyptic number.

It is an amenable number.

101221200102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221200102013 is an equidigital number, since it uses as much as digits as its factorization.

101221200102013 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 16.

Adding to 101221200102013 its reverse (310201002122101), we get a palindrome (411422202224114).

The spelling of 101221200102013 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, thirteen".