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12110101121 is a prime number
BaseRepresentation
bin10110100011101000…
…10111101010000001
31011020222021212200202
423101310113222001
5144300141213441
65321401254545
7606046106156
oct132164275201
934228255622
1012110101121
115154922238
12241b794455
1311acc03c11
1482c4bc22d
154ad26d19b
hex2d1d17a81

12110101121 has 2 divisors, whose sum is σ = 12110101122. Its totient is φ = 12110101120.

The previous prime is 12110101099. The next prime is 12110101127.

12110101121 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6441667600 + 5668433521 = 80260^2 + 75289^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 12110101121 - 26 = 12110101057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12110101127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055050560 + 6055050561.

It is an arithmetic number, because the mean of its divisors is an integer number (6055050561).

Almost surely, 212110101121 is an apocalyptic number.

It is an amenable number.

12110101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110101121 is an equidigital number, since it uses as much as digits as its factorization.

12110101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Multiplying 12110101121 by its sum of digits (11), we get a palindrome (133211112331).

The spelling of 12110101121 in words is "twelve billion, one hundred ten million, one hundred one thousand, one hundred twenty-one".