102101221021213 has 2 divisors, whose sum is σ = 102101221021214. Its totient is φ = 102101221021212.

The previous prime is 102101221021193. The next prime is 102101221021231. The reversal of 102101221021213 is 312120122101201.

Together with next prime (102101221021231) 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., 58983060481849 + 43118160539364 = 7680043^2 + 6566442^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101221021213 - 2²⁹ = 102100684150301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101221021253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050610510606 + 51050610510607.

It is an arithmetic number, because the mean of its divisors is an integer number (51050610510607).

Almost surely, 2^{102101221021213} is an apocalyptic number.

It is an amenable number.

102101221021213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101221021213 is an equidigital number, since it uses as much as digits as its factorization.

102101221021213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102101221021213 its reverse (312120122101201), we get a palindrome (414221343122414).

The spelling of 102101221021213 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand, two hundred thirteen".