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112122100001 is a prime number
BaseRepresentation
bin110100001101011111…
…1110111100100100001
3101201101222111211022102
41220122333313210201
53314111224200001
6123301433420145
711046330060632
oct1503277674441
9351358454272
10112122100001
114360700326a
121989156a655
13a75b054c92
1455d8d83889
152db3577e6b
hex1a1aff7921

112122100001 has 2 divisors, whose sum is σ = 112122100002. Its totient is φ = 112122100000.

The previous prime is 112122099977. The next prime is 112122100037. The reversal of 112122100001 is 100001221211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112037478400 + 84621601 = 334720^2 + 9199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112122100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (112122100081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061050000 + 56061050001.

It is an arithmetic number, because the mean of its divisors is an integer number (56061050001).

Almost surely, 2112122100001 is an apocalyptic number.

It is an amenable number.

112122100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122100001 is an equidigital number, since it uses as much as digits as its factorization.

112122100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112122100001 its reverse (100001221211), we get a palindrome (212123321212).

The spelling of 112122100001 in words is "one hundred twelve billion, one hundred twenty-two million, one hundred thousand, one".