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12121102202017 is a prime number
BaseRepresentation
bin1011000001100010100111…
…1111011011010010100001
31120220202200110020101012211
42300120221333123102201
53042043004130431032
641440205114322121
72360502132521614
oct260305177332241
946822613211184
1012121102202017
113953592218686
121439198729341
1369c027048ca3
142dc94347817b
1516046ea44747
hexb0629fdb4a1

12121102202017 has 2 divisors, whose sum is σ = 12121102202018. Its totient is φ = 12121102202016.

The previous prime is 12121102201981. The next prime is 12121102202023. The reversal of 12121102202017 is 71020220112121.

12121102202017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8630721720481 + 3490380481536 = 2937809^2 + 1868256^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121102202017 - 27 = 12121102201889 is a prime.

It is a super-2 number, since 2×121211022020172 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12121102202117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060551101008 + 6060551101009.

It is an arithmetic number, because the mean of its divisors is an integer number (6060551101009).

Almost surely, 212121102202017 is an apocalyptic number.

It is an amenable number.

12121102202017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121102202017 is an equidigital number, since it uses as much as digits as its factorization.

12121102202017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 12121102202017 its reverse (71020220112121), we get a palindrome (83141322314138).

The spelling of 12121102202017 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, two hundred two thousand, seventeen".