2001011001 has 24 divisors (see below), whose sum is σ = 2951374272. Its totient is φ = 1204975200.

The previous prime is 2001010981. The next prime is 2001011003. The reversal of 2001011001 is 1001101002.

It is not a de Polignac number, because 2001011001 - 2⁶ = 2001010937 is a prime.

It is a super-2 number, since 2×2001011001² = 8008090052246044002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001011003) 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, 39436 + ... + 74546.

It is an arithmetic number, because the mean of its divisors is an integer number (122973928).

Almost surely, 2^2001011001 is an apocalyptic number.

It is an amenable number.

2001011001 is a deficient number, since it is larger than the sum of its proper divisors (950363271).

2001011001 is a wasteful number, since it uses less digits than its factorization.

2001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35293 (or 35282 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2001011001 is about 44732.6614567030. The cubic root of 2001011001 is about 1260.1333110397.

Adding to 2001011001 its reverse (1001101002), we get a palindrome (3002112003).

Subtracting from 2001011001 its reverse (1001101002), we obtain a palindrome (999909999).

It can be divided in two parts, 200101 and 1001, that added together give a palindrome (201102).

The spelling of 2001011001 in words is "two billion, one million, eleven thousand, one".