2001120012011 has 48 divisors (see below), whose sum is σ = 2197298517120. Its totient is φ = 1820904391680.

The previous prime is 2001120012007. The next prime is 2001120012077. The reversal of 2001120012011 is 1102100211002.

It is not a de Polignac number, because 2001120012011 - 2² = 2001120012007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001120011983 and 2001120012001.

It is not an unprimeable number, because it can be changed into a prime (2001120012511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1559718776 + ... + 1559720058.

It is an arithmetic number, because the mean of its divisors is an integer number (45777052440).

Almost surely, 2^{2001120012011} is an apocalyptic number.

2001120012011 is a deficient number, since it is larger than the sum of its proper divisors (196178505109).

2001120012011 is a wasteful number, since it uses less digits than its factorization.

2001120012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2427 counting only the distinct ones).

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

Adding to 2001120012011 its reverse (1102100211002), we get a palindrome (3103220223013).

The spelling of 2001120012011 in words is "two trillion, one billion, one hundred twenty million, twelve thousand, eleven".