2011110011001 has 288 divisors, whose sum is σ = 3893881729920. Its totient is φ = 1016748827136.

The previous prime is 2011110010999. The next prime is 2011110011017. The reversal of 2011110011001 is 1001100111102.

It is not a de Polignac number, because 2011110011001 - 2¹ = 2011110010999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

2011110011001 is a modest number, since divided by 10011001 gives 20111 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2011110011021) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2357690091 + ... + 2357690943.

Almost surely, 2^{2011110011001} is an apocalyptic number.

2011110011001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011110011001 is a deficient number, since it is larger than the sum of its proper divisors (1882771718919).

2011110011001 is a wasteful number, since it uses less digits than its factorization.

2011110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2011110011001 its reverse (1001100111102), we get a palindrome (3012210122103).

The spelling of 2011110011001 in words is "two trillion, eleven billion, one hundred ten million, eleven thousand, one".