102200210221 has 8 divisors (see below), whose sum is σ = 103373285400. Its totient is φ = 101033744448.

The previous prime is 102200210201. The next prime is 102200210297. The reversal of 102200210221 is 122012002201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34073468100 + 68126742121 = 184590^2 + 261011^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200210221 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 (102200210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621246 + ... + 1683103.

It is an arithmetic number, because the mean of its divisors is an integer number (12921660675).

Almost surely, 2^102200210221 is an apocalyptic number.

It is an amenable number.

102200210221 is a deficient number, since it is larger than the sum of its proper divisors (1173075179).

102200210221 is a wasteful number, since it uses less digits than its factorization.

102200210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304703.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200210221 its reverse (122012002201), we get a palindrome (224212212422).

The spelling of 102200210221 in words is "one hundred two billion, two hundred million, two hundred ten thousand, two hundred twenty-one".