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10001221200221 is a prime number
BaseRepresentation
bin1001000110001001011100…
…1111001010100101011101
31022102002220022010122121012
42101202113033022211131
52302330000111401341
633134255251345005
72051364404360636
oct221422717124535
938362808118535
1010001221200221
1132065486aa8a9
1211563788b2165
1357715a1634c4
142680c13ba88d
1512524c26a0eb
hex918973ca95d

10001221200221 has 2 divisors, whose sum is σ = 10001221200222. Its totient is φ = 10001221200220.

The previous prime is 10001221200143. The next prime is 10001221200281. The reversal of 10001221200221 is 12200212210001.

10001221200221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9510198667321 + 491022532900 = 3083861^2 + 700730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001221200221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001221200196 and 10001221200205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001221200281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000610600110 + 5000610600111.

It is an arithmetic number, because the mean of its divisors is an integer number (5000610600111).

Almost surely, 210001221200221 is an apocalyptic number.

It is an amenable number.

10001221200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001221200221 is an equidigital number, since it uses as much as digits as its factorization.

10001221200221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10001221200221 its reverse (12200212210001), we get a palindrome (22201433410222).

The spelling of 10001221200221 in words is "ten trillion, one billion, two hundred twenty-one million, two hundred thousand, two hundred twenty-one".