102210100221 has 32 divisors (see below), whose sum is σ = 146211402240. Its totient is φ = 63313233984.

The previous prime is 102210100219. The next prime is 102210100243. The reversal of 102210100221 is 122001012201.

It is not a de Polignac number, because 102210100221 - 2¹ = 102210100219 is a prime.

It is a super-3 number, since 3×102210100221³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102210100197 and 102210100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210100721) 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 31 ways as a sum of consecutive naturals, for example, 13539370 + ... + 13546916.

It is an arithmetic number, because the mean of its divisors is an integer number (4569106320).

Almost surely, 2^102210100221 is an apocalyptic number.

It is an amenable number.

102210100221 is a deficient number, since it is larger than the sum of its proper divisors (44001302019).

102210100221 is a wasteful number, since it uses less digits than its factorization.

102210100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105.

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

Adding to 102210100221 its reverse (122001012201), we get a palindrome (224211112422).

The spelling of 102210100221 in words is "one hundred two billion, two hundred ten million, one hundred thousand, two hundred twenty-one".