102120012221 has 16 divisors (see below), whose sum is σ = 105420292848. Its totient is φ = 98877542400.

The previous prime is 102120012217. The next prime is 102120012227. The reversal of 102120012221 is 122210021201.

It can be written as a sum of positive squares in 8 ways, for example, as 4919479321 + 97200532900 = 70139^2 + 311770^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120012221 - 2² = 102120012217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120012196 and 102120012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120012227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2298005 + ... + 2342021.

It is an arithmetic number, because the mean of its divisors is an integer number (6588768303).

Almost surely, 2^102120012221 is an apocalyptic number.

It is an amenable number.

102120012221 is a deficient number, since it is larger than the sum of its proper divisors (3300280627).

102120012221 is an equidigital number, since it uses as much as digits as its factorization.

102120012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44672.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120012221 its reverse (122210021201), we get a palindrome (224330033422).

The spelling of 102120012221 in words is "one hundred two billion, one hundred twenty million, twelve thousand, two hundred twenty-one".