102010102101221 has 2 divisors, whose sum is σ = 102010102101222. Its totient is φ = 102010102101220.

The previous prime is 102010102101121. The next prime is 102010102101223. The reversal of 102010102101221 is 122101201010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76352888664196 + 25657213437025 = 8738014^2 + 5065295^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010102101221 - 2¹⁸ = 102010101839077 is a prime.

It is a super-3 number, since 3×102010102101221³ (a number of 43 digits) contains 333 as substring.

Together with 102010102101223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010102101196 and 102010102101205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010102101223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005051050610 + 51005051050611.

It is an arithmetic number, because the mean of its divisors is an integer number (51005051050611).

Almost surely, 2^{102010102101221} is an apocalyptic number.

It is an amenable number.

102010102101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010102101221 is an equidigital number, since it uses as much as digits as its factorization.

102010102101221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102010102101221 its reverse (122101201010201), we get a palindrome (224111303111422).

The spelling of 102010102101221 in words is "one hundred two trillion, ten billion, one hundred two million, one hundred one thousand, two hundred twenty-one".