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12100000120121 is a prime number
BaseRepresentation
bin1011000000010100000000…
…1101010111110100111001
31120211202012210221112211002
42300011000031113310321
53041221300012320441
641422355135414345
72356124166011144
oct260050015276471
946752183845732
1012100000120121
113945643692181
1214350896843b5
1369a043241bb4
142db900a7105b
1515eb37180b9b
hexb0140357d39

12100000120121 has 2 divisors, whose sum is σ = 12100000120122. Its totient is φ = 12100000120120.

The previous prime is 12100000120057. The next prime is 12100000120129. The reversal of 12100000120121 is 12102100000121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11910705513721 + 189294606400 = 3451189^2 + 435080^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100000120121 - 26 = 12100000120057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100000120129) 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, 6050000060060 + 6050000060061.

It is an arithmetic number, because the mean of its divisors is an integer number (6050000060061).

Almost surely, 212100000120121 is an apocalyptic number.

It is an amenable number.

12100000120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100000120121 is an equidigital number, since it uses as much as digits as its factorization.

12100000120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100000120121 its reverse (12102100000121), we get a palindrome (24202100120242).

The spelling of 12100000120121 in words is "twelve trillion, one hundred billion, one hundred twenty thousand, one hundred twenty-one".