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121121220111041 is a prime number
BaseRepresentation
bin11011100010100010111011…
…010011001010101011000001
3120212212002001002020010121202
4123202202323103022223001
5111333422224322023131
61105334153111030545
734340501513654513
oct3342427323125301
9525762032203552
10121121220111041
1135658248146757
121170212b66b455
1352778b35c5b67
1421ca4268a5bb3
15e00993031bcb
hex6e28bb4caac1

121121220111041 has 2 divisors, whose sum is σ = 121121220111042. Its totient is φ = 121121220111040.

The previous prime is 121121220110923. The next prime is 121121220111109. The reversal of 121121220111041 is 140111022121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119015444736400 + 2105775374641 = 10909420^2 + 1451129^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121220111041 - 230 = 121120146369217 is a prime.

It is a super-2 number, since 2×1211212201110412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121121220119041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560610055520 + 60560610055521.

It is an arithmetic number, because the mean of its divisors is an integer number (60560610055521).

Almost surely, 2121121220111041 is an apocalyptic number.

It is an amenable number.

121121220111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121220111041 is an equidigital number, since it uses as much as digits as its factorization.

121121220111041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121121220111041 its reverse (140111022121121), we get a palindrome (261232242232162).

The spelling of 121121220111041 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, forty-one".