10010221112221 has 72 divisors (see below), whose sum is σ = 11990039513256. Its totient is φ = 8319168000000.

The previous prime is 10010221112207. The next prime is 10010221112329. The reversal of 10010221112221 is 12221112201001.

It can be written as a sum of positive squares in 12 ways, for example, as 767927979225 + 9242293132996 = 876315^2 + 3040114^2 .

It is not a de Polignac number, because 10010221112221 - 2⁵ = 10010221112189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010221112195 and 10010221112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010221112821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112118721 + ... + 1112127721.

It is an arithmetic number, because the mean of its divisors is an integer number (166528326573).

Almost surely, 2^{10010221112221} is an apocalyptic number.

10010221112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010221112221 is a deficient number, since it is larger than the sum of its proper divisors (1979818401035).

10010221112221 is a wasteful number, since it uses less digits than its factorization.

10010221112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10010221112221 its reverse (12221112201001), we get a palindrome (22231333313222).

The spelling of 10010221112221 in words is "ten trillion, ten billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".