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2122102121 is a prime number
BaseRepresentation
bin111111001111100…
…1011010101101001
312110220002221211212
41332133023111221
513321224231441
6550324002505
7103405366436
oct17637132551
95426087755
102122102121
11999964807
124b2830435
1327a859039
14161ba0b8d
15c6480eeb
hex7e7cb569

2122102121 has 2 divisors, whose sum is σ = 2122102122. Its totient is φ = 2122102120.

The previous prime is 2122102111. The next prime is 2122102133. The reversal of 2122102121 is 1212012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1437547225 + 684554896 = 37915^2 + 26164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122102121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122102096 and 2122102105.

It is not a weakly prime, because it can be changed into another prime (2122102111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051060 + 1061051061.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051061).

Almost surely, 22122102121 is an apocalyptic number.

It is an amenable number.

2122102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102121 is an equidigital number, since it uses as much as digits as its factorization.

2122102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2122102121 is about 46066.2796522576. The cubic root of 2122102121 is about 1285.0561166932.

Adding to 2122102121 its reverse (1212012212), we get a palindrome (3334114333).

The spelling of 2122102121 in words is "two billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".