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121201104001 is a prime number
BaseRepresentation
bin111000011100000100…
…1100001010010000001
3102120211201021000102211
41300320021201102001
53441204440312001
6131402400142121
711520322246225
oct1607011412201
9376751230384
10121201104001
114744595535a
121b5a6007941
13b576ca71b3
145c1aa82785
15324565d351
hex1c38261481

121201104001 has 2 divisors, whose sum is σ = 121201104002. Its totient is φ = 121201104000.

The previous prime is 121201103939. The next prime is 121201104007. The reversal of 121201104001 is 100401102121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74035689025 + 47165414976 = 272095^2 + 217176^2 .

It is a cyclic number.

It is not a de Polignac number, because 121201104001 - 29 = 121201103489 is a prime.

It is a super-2 number, since 2×1212011040012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121201104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60600552000 + 60600552001.

It is an arithmetic number, because the mean of its divisors is an integer number (60600552001).

Almost surely, 2121201104001 is an apocalyptic number.

It is an amenable number.

121201104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121201104001 is an equidigital number, since it uses as much as digits as its factorization.

121201104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121201104001 its reverse (100401102121), we get a palindrome (221602206122).

The spelling of 121201104001 in words is "one hundred twenty-one billion, two hundred one million, one hundred four thousand, one".