110111000010001 has 2 divisors, whose sum is σ = 110111000010002. Its totient is φ = 110111000010000.

The previous prime is 110111000009929. The next prime is 110111000010049. The reversal of 110111000010001 is 100010000111011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86835392739601 + 23275607270400 = 9318551^2 + 4824480^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111000010001 - 2⁷ = 110111000009873 is a prime.

It is not a weakly prime, because it can be changed into another prime (110111004010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055500005000 + 55055500005001.

It is an arithmetic number, because the mean of its divisors is an integer number (55055500005001).

Almost surely, 2^{110111000010001} is an apocalyptic number.

It is an amenable number.

110111000010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111000010001 is an equidigital number, since it uses as much as digits as its factorization.

110111000010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110111000010001 its reverse (100010000111011), we get a palindrome (210121000121012).

The spelling of 110111000010001 in words is "one hundred ten trillion, one hundred eleven billion, ten thousand, one".