10221200121 has 16 divisors (see below), whose sum is σ = 15183525888. Its totient is φ = 6062864400.

The previous prime is 10221200113. The next prime is 10221200131. The reversal of 10221200121 is 12100212201.

10221200121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221200121 - 2³ = 10221200113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221200097 and 10221200106.

It is not an unprimeable number, because it can be changed into a prime (10221200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3293485 + ... + 3296586.

It is an arithmetic number, because the mean of its divisors is an integer number (948970368).

Almost surely, 2^10221200121 is an apocalyptic number.

10221200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221200121 is a deficient number, since it is larger than the sum of its proper divisors (4962325767).

10221200121 is a wasteful number, since it uses less digits than its factorization.

10221200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590132.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221200121 its reverse (12100212201), we get a palindrome (22321412322).

The spelling of 10221200121 in words is "ten billion, two hundred twenty-one million, two hundred thousand, one hundred twenty-one".