10001211223221 has 24 divisors (see below), whose sum is σ = 14846185961880. Its totient is φ = 6483094557696.

The previous prime is 10001211223169. The next prime is 10001211223253. The reversal of 10001211223221 is 12232211210001.

10001211223221 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 211 + 223 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4625704055025 + 5375507168196 = 2150745^2 + 2318514^2 .

It is not a de Polignac number, because 10001211223221 - 2⁷ = 10001211223093 is a prime.

It is a super-2 number, since 2×10001211223221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001211223194 and 10001211223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001211723221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9152416 + ... + 10186713.

It is an arithmetic number, because the mean of its divisors is an integer number (618591081745).

Almost surely, 2^{10001211223221} is an apocalyptic number.

It is an amenable number.

10001211223221 is a deficient number, since it is larger than the sum of its proper divisors (4844974738659).

10001211223221 is a wasteful number, since it uses less digits than its factorization.

10001211223221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19340725 (or 19340722 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10001211223221 its reverse (12232211210001), we get a palindrome (22233422433222).

The spelling of 10001211223221 in words is "ten trillion, one billion, two hundred eleven million, two hundred twenty-three thousand, two hundred twenty-one".