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2121020201 is a prime number
BaseRepresentation
bin111111001101100…
…0011001100101001
312110211001222201202
41332123003030221
513320440121301
6550244453545
7103363242236
oct17633031451
95424058652
102121020201
11999295963
124b23aa2b5
1327a56a751
1416199c78d
15c631a66b
hex7e6c3329

2121020201 has 2 divisors, whose sum is σ = 2121020202. Its totient is φ = 2121020200.

The previous prime is 2121020191. The next prime is 2121020219. The reversal of 2121020201 is 1020201212.

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., 2025450025 + 95570176 = 45005^2 + 9776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121020201 - 26 = 2121020137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121020221) 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, 1060510100 + 1060510101.

It is an arithmetic number, because the mean of its divisors is an integer number (1060510101).

Almost surely, 22121020201 is an apocalyptic number.

It is an amenable number.

2121020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121020201 is an equidigital number, since it uses as much as digits as its factorization.

2121020201 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2121020201 is about 46054.5350752779. The cubic root of 2121020201 is about 1284.8376910975.

Adding to 2121020201 its reverse (1020201212), we get a palindrome (3141221413).

It can be divided in two parts, 212 and 1020201, that multiplied together give a palindrome (216282612).

The spelling of 2121020201 in words is "two billion, one hundred twenty-one million, twenty thousand, two hundred one".