102112020212221 has 8 divisors (see below), whose sum is σ = 105633253276920. Its totient is φ = 98590795742208.

The previous prime is 102112020212203. The next prime is 102112020212239. The reversal of 102112020212221 is 122212020211201.

It is an interprime number because it is at equal distance from previous prime (102112020212203) and next prime (102112020212239).

It can be written as a sum of positive squares in 4 ways, for example, as 5384205111321 + 96727815100900 = 2320389^2 + 9835030^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102112020212221 - 2¹⁹ = 102112019687933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112020212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30358485 + ... + 33553861.

It is an arithmetic number, because the mean of its divisors is an integer number (13204156659615).

Almost surely, 2^{102112020212221} is an apocalyptic number.

It is an amenable number.

102112020212221 is a deficient number, since it is larger than the sum of its proper divisors (3521233064699).

102112020212221 is a wasteful number, since it uses less digits than its factorization.

102112020212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297343.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102112020212221 its reverse (122212020211201), we get a palindrome (224324040423422).

The spelling of 102112020212221 in words is "one hundred two trillion, one hundred twelve billion, twenty million, two hundred twelve thousand, two hundred twenty-one".