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121110120133 is a prime number
BaseRepresentation
bin111000011001010111…
…0011100011011000101
3102120121101001120000221
41300302232130123011
53441013142321013
6131345350104341
711515136015152
oct1606256343305
9376541046027
10121110120133
11473a9561882
121b57b64b0b1
13b56119c4a2
145c0c95b229
15323c68a08d
hex1c32b9c6c5

121110120133 has 2 divisors, whose sum is σ = 121110120134. Its totient is φ = 121110120132.

The previous prime is 121110120113. The next prime is 121110120191. The reversal of 121110120133 is 331021011121.

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., 106694996164 + 14415123969 = 326642^2 + 120063^2 .

It is a cyclic number.

It is not a de Polignac number, because 121110120133 - 25 = 121110120101 is a prime.

It is a super-2 number, since 2×1211101201332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121110120113) 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, 60555060066 + 60555060067.

It is an arithmetic number, because the mean of its divisors is an integer number (60555060067).

Almost surely, 2121110120133 is an apocalyptic number.

It is an amenable number.

121110120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

121110120133 is an equidigital number, since it uses as much as digits as its factorization.

121110120133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 121110120133 its reverse (331021011121), we get a palindrome (452131131254).

The spelling of 121110120133 in words is "one hundred twenty-one billion, one hundred ten million, one hundred twenty thousand, one hundred thirty-three".