10022002110221 has 16 divisors (see below), whose sum is σ = 10255464702000. Its totient is φ = 9790781107200.

The previous prime is 10022002110217. The next prime is 10022002110257. The reversal of 10022002110221 is 12201120022001.

10022002110221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1364490316996 + 8657511793225 = 1168114^2 + 2942365^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022002110221 - 2² = 10022002110217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022002110196 and 10022002110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022002116221) 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, 141580325 + ... + 141651093.

It is an arithmetic number, because the mean of its divisors is an integer number (640966543875).

Almost surely, 2^{10022002110221} is an apocalyptic number.

It is an amenable number.

10022002110221 is a deficient number, since it is larger than the sum of its proper divisors (233462591779).

10022002110221 is a wasteful number, since it uses less digits than its factorization.

10022002110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86560.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022002110221 its reverse (12201120022001), we get a palindrome (22223122132222).

The spelling of 10022002110221 in words is "ten trillion, twenty-two billion, two million, one hundred ten thousand, two hundred twenty-one".