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121002133031281 is a prime number
BaseRepresentation
bin11011100000110100000001…
…001010000000100101110001
3120212102200122200212200021001
4123200310001022000211301
5111324444332024000111
61105203340145402001
734326054441332245
oct3340640112004561
9525380580780231
10121002133031281
1135611797639077
12116a3035639301
1352695b55a9ca8
1421c476a8c0425
15dec8232ab1c1
hex6e0d01280971

121002133031281 has 2 divisors, whose sum is σ = 121002133031282. Its totient is φ = 121002133031280.

The previous prime is 121002133031159. The next prime is 121002133031317. The reversal of 121002133031281 is 182130331200121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86093178806881 + 34908954224400 = 9278641^2 + 5908380^2 .

It is an emirp because it is prime and its reverse (182130331200121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121002133031281 - 241 = 118803109775729 is a prime.

It is a super-2 number, since 2×1210021330312812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121002133031081) 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, 60501066515640 + 60501066515641.

It is an arithmetic number, because the mean of its divisors is an integer number (60501066515641).

Almost surely, 2121002133031281 is an apocalyptic number.

It is an amenable number.

121002133031281 is a deficient number, since it is larger than the sum of its proper divisors (1).

121002133031281 is an equidigital number, since it uses as much as digits as its factorization.

121002133031281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 121002133031281 in words is "one hundred twenty-one trillion, two billion, one hundred thirty-three million, thirty-one thousand, two hundred eighty-one".