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121101121201 is a prime number
BaseRepresentation
bin111000011001000110…
…0000111011010110001
3102120120202010100211011
41300302030013122301
53441003341334301
6131344425150521
711514666355204
oct1606214073261
9376522110734
10121101121201
11473a4475845
121b57862b441
13b55c36b488
145c0b69793b
15323b9ada51
hex1c323076b1

121101121201 has 2 divisors, whose sum is σ = 121101121202. Its totient is φ = 121101121200.

The previous prime is 121101121181. The next prime is 121101121261. The reversal of 121101121201 is 102121101121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115355329600 + 5745791601 = 339640^2 + 75801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121101121201 is a prime.

It is a super-2 number, since 2×1211011212012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121101121261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550560600 + 60550560601.

It is an arithmetic number, because the mean of its divisors is an integer number (60550560601).

Almost surely, 2121101121201 is an apocalyptic number.

It is an amenable number.

121101121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101121201 is an equidigital number, since it uses as much as digits as its factorization.

121101121201 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 13.

Adding to 121101121201 its reverse (102121101121), we get a palindrome (223222222322).

It can be divided in two parts, 12110 and 1121201, that added together give a palindrome (1133311).

The spelling of 121101121201 in words is "one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred one".