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211121212021 is a prime number
BaseRepresentation
bin1100010010011111001…
…1100000101001110101
3202011221101210210100221
43010213303200221311
511424334012241041
6240553204134341
721152531456446
oct3044763405165
9664841723327
10211121212021
1181599469415
1234b000973b1
1316ba73a62c5
14a30b1052cd
1557599a82d1
hex3127ce0a75

211121212021 has 2 divisors, whose sum is σ = 211121212022. Its totient is φ = 211121212020.

The previous prime is 211121212009. The next prime is 211121212033. The reversal of 211121212021 is 120212121112.

211121212021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (211121212009) and next prime (211121212033).

It can be written as a sum of positive squares in only one way, i.e., 164218647121 + 46902564900 = 405239^2 + 216570^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121212021 - 215 = 211121179253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211121211986 and 211121212004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211121212061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560606010 + 105560606011.

It is an arithmetic number, because the mean of its divisors is an integer number (105560606011).

Almost surely, 2211121212021 is an apocalyptic number.

It is an amenable number.

211121212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121212021 is an equidigital number, since it uses as much as digits as its factorization.

211121212021 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 16.

Adding to 211121212021 its reverse (120212121112), we get a palindrome (331333333133).

Subtracting from 211121212021 its reverse (120212121112), we obtain a palindrome (90909090909).

The spelling of 211121212021 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, twenty-one".