2001101011 has 16 divisors (see below), whose sum is σ = 2464251328. Its totient is φ = 1582416000.

The previous prime is 2001100967. The next prime is 2001101017. The reversal of 2001101011 is 1101011002.

It is a cyclic number.

It is not a de Polignac number, because 2001101011 - 2⁷ = 2001100883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2001100985 and 2001101003.

It is not an unprimeable number, because it can be changed into a prime (2001101017) 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, 197161 + ... + 207061.

It is an arithmetic number, because the mean of its divisors is an integer number (154015708).

Almost surely, 2^2001101011 is an apocalyptic number.

2001101011 is a deficient number, since it is larger than the sum of its proper divisors (463150317).

2001101011 is a wasteful number, since it uses less digits than its factorization.

2001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12142.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2001101011 is about 44733.6675335256. The cubic root of 2001101011 is about 1260.1522053051.

Adding to 2001101011 its reverse (1101011002), we get a palindrome (3102112013).

Subtracting from 2001101011 its reverse (1101011002), we obtain a palindrome (900090009).

The spelling of 2001101011 in words is "two billion, one million, one hundred one thousand, eleven".