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12201002122093 is a prime number
BaseRepresentation
bin1011000110001100010001…
…1001011011101101101101
31121012101220211000212100221
42301203010121123231231
53044400123020401333
641541021335051341
72366331130606201
oct261430431335555
947171824025327
1012201002122093
113984463689184
121450776b10b51
136a671b50cac5
14302762c00b01
15162599344d2d
hexb18c465bb6d

12201002122093 has 2 divisors, whose sum is σ = 12201002122094. Its totient is φ = 12201002122092.

The previous prime is 12201002122079. The next prime is 12201002122171. The reversal of 12201002122093 is 39022120010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9786623776164 + 2414378345929 = 3128358^2 + 1553827^2 .

It is an emirp because it is prime and its reverse (39022120010221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201002122093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201002122193) 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, 6100501061046 + 6100501061047.

It is an arithmetic number, because the mean of its divisors is an integer number (6100501061047).

Almost surely, 212201002122093 is an apocalyptic number.

It is an amenable number.

12201002122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201002122093 is an equidigital number, since it uses as much as digits as its factorization.

12201002122093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12201002122093 in words is "twelve trillion, two hundred one billion, two million, one hundred twenty-two thousand, ninety-three".