1800011101001 has 2 divisors, whose sum is σ = 1800011101002. Its totient is φ = 1800011101000.

The previous prime is 1800011100983. The next prime is 1800011101013. The reversal of 1800011101001 is 1001011100081.

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., 1244449571401 + 555561529600 = 1115549^2 + 745360^2 .

It is an emirp because it is prime and its reverse (1001011100081) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1800011101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1800011131001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 900005550500 + 900005550501.

It is an arithmetic number, because the mean of its divisors is an integer number (900005550501).

Almost surely, 2^{1800011101001} is an apocalyptic number.

It is an amenable number.

1800011101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1800011101001 is an equidigital number, since it uses as much as digits as its factorization.

1800011101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1800011101001 its reverse (1001011100081), we get a palindrome (2801022201082).

The spelling of 1800011101001 in words is "one trillion, eight hundred billion, eleven million, one hundred one thousand, one".