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212021022001 is a prime number
BaseRepresentation
bin1100010101110101110…
…0000000110100110001
3202021021002221212121111
43011131130000310301
511433204340201001
6241222350153321
721214035644245
oct3053534006461
9667232855544
10212021022001
1181a10380a28
12351114b2841
1316cbb934349
14a394812425
1557ad998851
hex315d700d31

212021022001 has 2 divisors, whose sum is σ = 212021022002. Its totient is φ = 212021022000.

The previous prime is 212021021951. The next prime is 212021022023. The reversal of 212021022001 is 100220120212.

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., 145407992976 + 66613029025 = 381324^2 + 258095^2 .

It is a cyclic number.

It is not a de Polignac number, because 212021022001 - 211 = 212021019953 is a prime.

It is not a weakly prime, because it can be changed into another prime (212021028001) 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 as a sum of consecutive naturals, namely, 106010511000 + 106010511001.

It is an arithmetic number, because the mean of its divisors is an integer number (106010511001).

Almost surely, 2212021022001 is an apocalyptic number.

It is an amenable number.

212021022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021022001 is an equidigital number, since it uses as much as digits as its factorization.

212021022001 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 212021022001 its reverse (100220120212), we get a palindrome (312241142213).

The spelling of 212021022001 in words is "two hundred twelve billion, twenty-one million, twenty-two thousand, one".