102010210221 has 16 divisors (see below), whose sum is σ = 136321920000. Its totient is φ = 67852727088.

The previous prime is 102010210207. The next prime is 102010210229. The reversal of 102010210221 is 122012010201.

It is not a de Polignac number, because 102010210221 - 2¹¹ = 102010208173 is a prime.

It is a super-2 number, since 2×102010210221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010210197 and 102010210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010210229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8255770 + ... + 8268116.

It is an arithmetic number, because the mean of its divisors is an integer number (8520120000).

Almost surely, 2^102010210221 is an apocalyptic number.

It is an amenable number.

102010210221 is a deficient number, since it is larger than the sum of its proper divisors (34311709779).

102010210221 is a wasteful number, since it uses less digits than its factorization.

102010210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102010210221 its reverse (122012010201), we get a palindrome (224022220422).

The spelling of 102010210221 in words is "one hundred two billion, ten million, two hundred ten thousand, two hundred twenty-one".