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112121120110121 is a prime number
BaseRepresentation
bin11001011111100100111011…
…100010010011011000101001
3112200222200012122020201210122
4121133210323202103120221
5104143443023222010441
61034243422001053025
732421324610131323
oct3137447342233051
9480880178221718
10112121120110121
11327a8333346441
12106a99a8327175
134a73c8cac2135
141d989967cc613
15ce67daba034b
hex65f93b893629

112121120110121 has 2 divisors, whose sum is σ = 112121120110122. Its totient is φ = 112121120110120.

The previous prime is 112121120110099. The next prime is 112121120110187. The reversal of 112121120110121 is 121011021121211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63583703175721 + 48537416934400 = 7973939^2 + 6966880^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121120110121 - 222 = 112121115915817 is a prime.

It is a super-2 number, since 2×1121211201101212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112121120110121.

It is not a weakly prime, because it can be changed into another prime (112121120160121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060560055060 + 56060560055061.

It is an arithmetic number, because the mean of its divisors is an integer number (56060560055061).

Almost surely, 2112121120110121 is an apocalyptic number.

It is an amenable number.

112121120110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121120110121 is an equidigital number, since it uses as much as digits as its factorization.

112121120110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112121120110121 its reverse (121011021121211), we get a palindrome (233132141231332).

The spelling of 112121120110121 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-one".