2001120011001 has 10 divisors (see below), whose sum is σ = 2989327423962. Its totient is φ = 1334080007280.

The previous prime is 2001120010997. The next prime is 2001120011039. The reversal of 2001120011001 is 1001100211002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1765483551225 + 235636459776 = 1328715^2 + 485424^2 .

It is not a de Polignac number, because 2001120011001 - 2² = 2001120010997 is a prime.

It is a super-2 number, since 2×2001120011001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001120011041) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12352592580 + ... + 12352592741.

Almost surely, 2^{2001120011001} is an apocalyptic number.

It is an amenable number.

2001120011001 is a deficient number, since it is larger than the sum of its proper divisors (988207412961).

2001120011001 is an equidigital number, since it uses as much as digits as its factorization.

2001120011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24705185333 (or 24705185324 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001120011001 its reverse (1001100211002), we get a palindrome (3002220222003).

The spelling of 2001120011001 in words is "two trillion, one billion, one hundred twenty million, eleven thousand, one".