10221121122201 has 40 divisors (see below), whose sum is σ = 17636444315424. Its totient is φ = 5830229508480.

The previous prime is 10221121122169. The next prime is 10221121122203. The reversal of 10221121122201 is 10222112112201.

10221121122201 is a `hidden beast` number, since 1 + 0 + 221 + 121 + 122 + 201 = 666.

It is not a de Polignac number, because 10221121122201 - 2⁵ = 10221121122169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221121122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337382395 + ... + 337412688.

Almost surely, 2^{10221121122201} is an apocalyptic number.

10221121122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221121122201 is a deficient number, since it is larger than the sum of its proper divisors (7415323193223).

10221121122201 is a wasteful number, since it uses less digits than its factorization.

10221121122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674795123 (or 674795114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221121122201 its reverse (10222112112201), we get a palindrome (20443233234402).

The spelling of 10221121122201 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred one".