102120000221 has 8 divisors (see below), whose sum is σ = 104745101400. Its totient is φ = 99520762432.

The previous prime is 102120000181. The next prime is 102120000289. The reversal of 102120000221 is 122000021201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19526988121 + 82593012100 = 139739^2 + 287390^2 .

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 102120000221 - 2¹⁰ = 102119999197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120000721) 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, 6457850 + ... + 6473643.

It is an arithmetic number, because the mean of its divisors is an integer number (13093137675).

Almost surely, 2^102120000221 is an apocalyptic number.

It is an amenable number.

102120000221 is a deficient number, since it is larger than the sum of its proper divisors (2625101179).

102120000221 is a wasteful number, since it uses less digits than its factorization.

102120000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12931695.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120000221 its reverse (122000021201), we get a palindrome (224120021422).

The spelling of 102120000221 in words is "one hundred two billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.