1801011010001 has 16 divisors (see below), whose sum is σ = 2112388291200. Its totient is φ = 1503636317568.

The previous prime is 1801011009961. The next prime is 1801011010031. The reversal of 1801011010001 is 1000101101081.

It is a happy number.

It is not a de Polignac number, because 1801011010001 - 2³⁸ = 1526133103057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1801011010031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19958660 + ... + 20048693.

It is an arithmetic number, because the mean of its divisors is an integer number (132024268200).

Almost surely, 2^{1801011010001} is an apocalyptic number.

It is an amenable number.

1801011010001 is a deficient number, since it is larger than the sum of its proper divisors (311377281199).

1801011010001 is a wasteful number, since it uses less digits than its factorization.

1801011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40007528.

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

Adding to 1801011010001 its reverse (1000101101081), we get a palindrome (2801112111082).

The spelling of 1801011010001 in words is "one trillion, eight hundred one billion, eleven million, ten thousand, one".