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111001000000001 is a prime number
BaseRepresentation
bin11001001111010001101111…
…001011001011101000000001
3112120000120222112122110201012
4121033101233023023220001
5104022120022000000001
61032025053323450305
732244362154236516
oct3117215713135001
9476016875573635
10111001000000001
1132406294789971
12105488a2386995
1349c24707a7177
141d5a6970d530d
15cc75cdb5a2bb
hex64f46f2cba01

111001000000001 has 2 divisors, whose sum is σ = 111001000000002. Its totient is φ = 111001000000000.

The previous prime is 111000999999997. The next prime is 111001000000103. The reversal of 111001000000001 is 100000000100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100204124060401 + 10796875939600 = 10010201^2 + 3285860^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001000000001 - 22 = 111000999999997 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001000005001) 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, 55500500000000 + 55500500000001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500500000001).

Almost surely, 2111001000000001 is an apocalyptic number.

It is an amenable number.

111001000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001000000001 is an equidigital number, since it uses as much as digits as its factorization.

111001000000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 111001000000001 its reverse (100000000100111), we get a palindrome (211001000100112).

The spelling of 111001000000001 in words is "one hundred eleven trillion, one billion, one", and thus it is an aban number.