10102220112221 has 16 divisors (see below), whose sum is σ = 10347765120000. Its totient is φ = 9857162213808.

The previous prime is 10102220112191. The next prime is 10102220112233. The reversal of 10102220112221 is 12221102220101.

It is a cyclic number.

It is not a de Polignac number, because 10102220112221 - 2¹⁴ = 10102220095837 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102220112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102220112251) 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, 189412460 + ... + 189465786.

It is an arithmetic number, because the mean of its divisors is an integer number (646735320000).

Almost surely, 2^{10102220112221} is an apocalyptic number.

It is an amenable number.

10102220112221 is a deficient number, since it is larger than the sum of its proper divisors (245545007779).

10102220112221 is a wasteful number, since it uses less digits than its factorization.

10102220112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57808.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10102220112221 its reverse (12221102220101), we get a palindrome (22323322332322).

The spelling of 10102220112221 in words is "ten trillion, one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred twenty-one".