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1022201020021 is a prime number
BaseRepresentation
bin11101101111111111110…
…11011011111001110101
310121201110221120002120211
432313333323123321311
5113221431430120041
62101332003225421
7133565044210636
oct16677773337165
93551427502524
101022201020021
11364570910925
12146139078271
137551597118c
1437690b9388d
151b8ca851481
hexedffedbe75

1022201020021 has 2 divisors, whose sum is σ = 1022201020022. Its totient is φ = 1022201020020.

The previous prime is 1022201019923. The next prime is 1022201020033. The reversal of 1022201020021 is 1200201022201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 659750062500 + 362450957521 = 812250^2 + 602039^2 .

It is an emirp because it is prime and its reverse (1200201022201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022201020021 - 215 = 1022200987253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022201019983 and 1022201020010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022201020051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511100510010 + 511100510011.

It is an arithmetic number, because the mean of its divisors is an integer number (511100510011).

Almost surely, 21022201020021 is an apocalyptic number.

It is an amenable number.

1022201020021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022201020021 is an equidigital number, since it uses as much as digits as its factorization.

1022201020021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022201020021 its reverse (1200201022201), we get a palindrome (2222402042222).

The spelling of 1022201020021 in words is "one trillion, twenty-two billion, two hundred one million, twenty thousand, twenty-one".