10002200121 has 81 divisors (see below), whose sum is σ = 16076709831. Its totient is φ = 5991058944.

The previous prime is 10002200069. The next prime is 10002200147. The reversal of 10002200121 is 12100220001.

The square root of 10002200121 is 100011.

It is a perfect power (a square), and thus also a powerful number.

10002200121 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 13 ways, for example, as 371525625 + 9630674496 = 19275^2 + 98136^2 .

It is not a de Polignac number, because 10002200121 - 2⁷ = 10002199993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002200171) 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 80 ways as a sum of consecutive naturals, for example, 188720731 + ... + 188720783.

Almost surely, 2^10002200121 is an apocalyptic number.

10002200121 is the 100011-st square number.

10002200121 is the 50006-th centered octagonal number.

It is an amenable number.

10002200121 is a deficient number, since it is larger than the sum of its proper divisors (6074509710).

10002200121 is an equidigital number, since it uses as much as digits as its factorization.

10002200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002200121 its reverse (12100220001), we get a palindrome (22102420122).

The spelling of 10002200121 in words is "ten billion, two million, two hundred thousand, one hundred twenty-one".