2001123100011 has 48 divisors (see below), whose sum is σ = 3129310929408. Its totient is φ = 1134117936000.

The previous prime is 2001123100003. The next prime is 2001123100021. The reversal of 2001123100011 is 1100013211002.

It is not a de Polignac number, because 2001123100011 - 2³ = 2001123100003 is a prime.

It is a super-2 number, since 2×2001123100011² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001123100011.

It is not an unprimeable number, because it can be changed into a prime (2001123100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13934871 + ... + 14077743.

It is an arithmetic number, because the mean of its divisors is an integer number (65193977696).

Almost surely, 2^{2001123100011} is an apocalyptic number.

2001123100011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001123100011 is a deficient number, since it is larger than the sum of its proper divisors (1128187829397).

2001123100011 is a wasteful number, since it uses less digits than its factorization.

2001123100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143672 (or 143665 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2001123100011 its reverse (1100013211002), we get a palindrome (3101136311013).

The spelling of 2001123100011 in words is "two trillion, one billion, one hundred twenty-three million, one hundred thousand, eleven".