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1022001000221 is a prime number
BaseRepresentation
bin11101101111101000000…
…00011010111100011101
310121200222000012001000002
432313310000122330131
5113221024224001341
62101300100144045
7133560065111555
oct16676400327435
93550860161002
101022001000221
11364478a15003
121460a2098025
13754b33aab76
14376723a8165
151b8b7ee129b
hexedf401af1d

1022001000221 has 2 divisors, whose sum is σ = 1022001000222. Its totient is φ = 1022001000220.

The previous prime is 1022001000211. The next prime is 1022001000233. The reversal of 1022001000221 is 1220001002201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 840513072025 + 181487928196 = 916795^2 + 426014^2 .

It is an emirp because it is prime and its reverse (1220001002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022001000221 - 222 = 1021996805917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022001000211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511000500110 + 511000500111.

It is an arithmetic number, because the mean of its divisors is an integer number (511000500111).

Almost surely, 21022001000221 is an apocalyptic number.

It is an amenable number.

1022001000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022001000221 is an equidigital number, since it uses as much as digits as its factorization.

1022001000221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022001000221 its reverse (1220001002201), we get a palindrome (2242002002422).

The spelling of 1022001000221 in words is "one trillion, twenty-two billion, one million, two hundred twenty-one", and thus it is an aban number.