2001022011001 has 24 divisors (see below), whose sum is σ = 2227270512960. Its totient is φ = 1795623875136.

The previous prime is 2001022010969. The next prime is 2001022011013. The reversal of 2001022011001 is 1001102201002.

It is not a de Polignac number, because 2001022011001 - 2⁵ = 2001022010969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001022011301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7134660 + ... + 7409818.

It is an arithmetic number, because the mean of its divisors is an integer number (92802938040).

Almost surely, 2^{2001022011001} is an apocalyptic number.

It is an amenable number.

2001022011001 is a deficient number, since it is larger than the sum of its proper divisors (226248501959).

2001022011001 is a wasteful number, since it uses less digits than its factorization.

2001022011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276385 (or 276372 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001022011001 its reverse (1001102201002), we get a palindrome (3002124212003).

The spelling of 2001022011001 in words is "two trillion, one billion, twenty-two million, eleven thousand, one".