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2101251121 is a prime number
BaseRepresentation
bin111110100111110…
…1000110000110001
312102102212121122121
41331033220300301
513300410013441
6544301034241
7103033224364
oct17517506061
95372777577
102101251121
11989113082
124a7855981
13276438478
1415d0d40db
15c4712dd1
hex7d3e8c31

2101251121 has 2 divisors, whose sum is σ = 2101251122. Its totient is φ = 2101251120.

The previous prime is 2101251073. The next prime is 2101251133. The reversal of 2101251121 is 1211521012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1750250896 + 351000225 = 41836^2 + 18735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2101251121 is a prime.

It is a super-3 number, since 3×21012511213 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101251095 and 2101251104.

It is not a weakly prime, because it can be changed into another prime (2101251161) 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, 1050625560 + 1050625561.

It is an arithmetic number, because the mean of its divisors is an integer number (1050625561).

Almost surely, 22101251121 is an apocalyptic number.

It is an amenable number.

2101251121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101251121 is an equidigital number, since it uses as much as digits as its factorization.

2101251121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 2101251121 is about 45839.4057662182. The cubic root of 2101251121 is about 1280.8334255299.

Adding to 2101251121 its reverse (1211521012), we get a palindrome (3312772133).

The spelling of 2101251121 in words is "two billion, one hundred one million, two hundred fifty-one thousand, one hundred twenty-one".