10011002200221 has 128 divisors (see below), whose sum is σ = 15800050667520. Its totient is φ = 5576293324800.

The previous prime is 10011002200189. The next prime is 10011002200237. The reversal of 10011002200221 is 12200220011001.

It is not a de Polignac number, because 10011002200221 - 2⁵ = 10011002200189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011002200197 and 10011002200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002200321) 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 127 ways as a sum of consecutive naturals, for example, 2551872166 + ... + 2551876088.

It is an arithmetic number, because the mean of its divisors is an integer number (123437895840).

Almost surely, 2^{10011002200221} is an apocalyptic number.

10011002200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011002200221 is a deficient number, since it is larger than the sum of its proper divisors (5789048467299).

10011002200221 is a wasteful number, since it uses less digits than its factorization.

10011002200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107.

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

Adding to 10011002200221 its reverse (12200220011001), we get a palindrome (22211222211222).

The spelling of 10011002200221 in words is "ten trillion, eleven billion, two million, two hundred thousand, two hundred twenty-one".