102210100100221 has 16 divisors (see below), whose sum is σ = 104701275993600. Its totient is φ = 99749914992000.

The previous prime is 102210100100149. The next prime is 102210100100239. The reversal of 102210100100221 is 122001001012201.

It is a cyclic number.

It is not a de Polignac number, because 102210100100221 - 2¹¹ = 102210100098173 is a prime.

It is a super-3 number, since 3×102210100100221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210100100261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685121 + ... + 14396521.

It is an arithmetic number, because the mean of its divisors is an integer number (6543829749600).

Almost surely, 2^{102210100100221} is an apocalyptic number.

It is an amenable number.

102210100100221 is a deficient number, since it is larger than the sum of its proper divisors (2491175893379).

102210100100221 is a wasteful number, since it uses less digits than its factorization.

102210100100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712620.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102210100100221 its reverse (122001001012201), we get a palindrome (224211101112422).

The spelling of 102210100100221 in words is "one hundred two trillion, two hundred ten billion, one hundred million, one hundred thousand, two hundred twenty-one".