2001022011011 has 8 divisors (see below), whose sum is σ = 2002282005360. Its totient is φ = 1999762404768.

The previous prime is 2001022010969. The next prime is 2001022011013. The reversal of 2001022011011 is 1101102201002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001022011011 - 2¹⁸ = 2001021748867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001022010983 and 2001022011001.

It is not an unprimeable number, because it can be changed into a prime (2001022011013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10584860 + ... + 10772246.

It is an arithmetic number, because the mean of its divisors is an integer number (250285250670).

Almost surely, 2^{2001022011011} is an apocalyptic number.

2001022011011 is a deficient number, since it is larger than the sum of its proper divisors (1259994349).

2001022011011 is a wasteful number, since it uses less digits than its factorization.

2001022011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194053.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001022011011 its reverse (1101102201002), we get a palindrome (3102124212013).

The spelling of 2001022011011 in words is "two trillion, one billion, twenty-two million, eleven thousand, eleven".