102101221021013 has 2 divisors, whose sum is σ = 102101221021014. Its totient is φ = 102101221021012.

The previous prime is 102101221020977. The next prime is 102101221021031. The reversal of 102101221021013 is 310120122101201.

It is a happy number.

Together with next prime (102101221021031) 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., 66211452509764 + 35889768511249 = 8137042^2 + 5990807^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101221021013 - 2⁶ = 102101221020949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101221020982 and 102101221021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101221021213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050610510506 + 51050610510507.

It is an arithmetic number, because the mean of its divisors is an integer number (51050610510507).

Almost surely, 2^{102101221021013} is an apocalyptic number.

It is an amenable number.

102101221021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101221021013 is an equidigital number, since it uses as much as digits as its factorization.

102101221021013 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 102101221021013 its reverse (310120122101201), we get a palindrome (412221343122214).

The spelling of 102101221021013 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand, thirteen".