10112111100221 has 8 divisors (see below), whose sum is σ = 10890359483640. Its totient is φ = 9333918957312.

The previous prime is 10112111100191. The next prime is 10112111100337. The reversal of 10112111100221 is 12200111121101.

It can be written as a sum of positive squares in 4 ways, for example, as 76767784900 + 10035343315321 = 277070^2 + 3167861^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10112111100221 - 2³⁰ = 10111037358397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112111100196 and 10112111100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112111102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13686320 + ... + 14406233.

It is an arithmetic number, because the mean of its divisors is an integer number (1361294935455).

Almost surely, 2^{10112111100221} is an apocalyptic number.

It is an amenable number.

10112111100221 is a deficient number, since it is larger than the sum of its proper divisors (778248383419).

10112111100221 is a wasteful number, since it uses less digits than its factorization.

10112111100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28120255.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112111100221 its reverse (12200111121101), we get a palindrome (22312222221322).

The spelling of 10112111100221 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".