110010112001 has 2 divisors, whose sum is σ = 110010112002. Its totient is φ = 110010112000.

The previous prime is 110010111941. The next prime is 110010112019. The reversal of 110010112001 is 100211010011.

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., 63604335601 + 46405776400 = 252199^2 + 215420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110010112001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010112001.

It is not a weakly prime, because it can be changed into another prime (110010112061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005056000 + 55005056001.

It is an arithmetic number, because the mean of its divisors is an integer number (55005056001).

Almost surely, 2^110010112001 is an apocalyptic number.

It is an amenable number.

110010112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010112001 is an equidigital number, since it uses as much as digits as its factorization.

110010112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110010112001 its reverse (100211010011), we get a palindrome (210221122012).

The spelling of 110010112001 in words is "one hundred ten billion, ten million, one hundred twelve thousand, one".