102112201221221 has 8 divisors (see below), whose sum is σ = 102129770597400. Its totient is φ = 102094632859648.

The previous prime is 102112201221133. The next prime is 102112201221257. The reversal of 102112201221221 is 122122102211201.

It can be written as a sum of positive squares in 4 ways, for example, as 2170792636321 + 99941408584900 = 1473361^2 + 9997070^2 .

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 102112201221221 - 2³⁰ = 102111127479397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102112201221193 and 102112201221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112201221281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216832205 + ... + 217302621.

It is an arithmetic number, because the mean of its divisors is an integer number (12766221324675).

Almost surely, 2^{102112201221221} is an apocalyptic number.

It is an amenable number.

102112201221221 is a deficient number, since it is larger than the sum of its proper divisors (17569376179).

102112201221221 is an equidigital number, since it uses as much as digits as its factorization.

102112201221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507303.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102112201221221 its reverse (122122102211201), we get a palindrome (224234303432422).

The spelling of 102112201221221 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty-one".