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111012022081 is a prime number
BaseRepresentation
bin110011101100011010…
…1010000011101000001
3101121112121201000200101
41213120311100131001
53304323034201311
6122555340522401
711006660422102
oct1473065203501
9347477630611
10111012022081
11430974352a4
1219621850401
13a61208613c
1455317803a9
152d4ada0ec1
hex19d8d50741

111012022081 has 2 divisors, whose sum is σ = 111012022082. Its totient is φ = 111012022080.

The previous prime is 111012022073. The next prime is 111012022153. The reversal of 111012022081 is 180220210111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107626644225 + 3385377856 = 328065^2 + 58184^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012022081 - 23 = 111012022073 is a prime.

It is a super-2 number, since 2×1110120220812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111012022021) 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, 55506011040 + 55506011041.

It is an arithmetic number, because the mean of its divisors is an integer number (55506011041).

Almost surely, 2111012022081 is an apocalyptic number.

It is an amenable number.

111012022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012022081 is an equidigital number, since it uses as much as digits as its factorization.

111012022081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 111012022081 its reverse (180220210111), we get a palindrome (291232232192).

The spelling of 111012022081 in words is "one hundred eleven billion, twelve million, twenty-two thousand, eighty-one".