102101220100013 has 2 divisors, whose sum is σ = 102101220100014. Its totient is φ = 102101220100012.

The previous prime is 102101220100003. The next prime is 102101220100039. The reversal of 102101220100013 is 310001022101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66009986370409 + 36091233729604 = 8124653^2 + 6007598^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101220100013 - 2⁴ = 102101220099997 is a prime.

It is a super-2 number, since 2×102101220100013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101220100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050610050006 + 51050610050007.

It is an arithmetic number, because the mean of its divisors is an integer number (51050610050007).

Almost surely, 2^{102101220100013} is an apocalyptic number.

It is an amenable number.

102101220100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101220100013 is an equidigital number, since it uses as much as digits as its factorization.

102101220100013 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 14.

Adding to 102101220100013 its reverse (310001022101201), we get a palindrome (412102242201214).

The spelling of 102101220100013 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, thirteen".