2011100100009 has 192 divisors, whose sum is σ = 3861287055360. Its totient is φ = 897461959680.

The previous prime is 2011100099927. The next prime is 2011100100029. The reversal of 2011100100009 is 9000010011102.

It is not a de Polignac number, because 2011100100009 - 2¹¹ = 2011100097961 is a prime.

It is a super-2 number, since 2×2011100100009² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011100100029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94544827 + ... + 94566095.

It is an arithmetic number, because the mean of its divisors is an integer number (20110870080).

Almost surely, 2^{2011100100009} is an apocalyptic number.

It is an amenable number.

2011100100009 is a deficient number, since it is larger than the sum of its proper divisors (1850186955351).

2011100100009 is a wasteful number, since it uses less digits than its factorization.

2011100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21400 (or 21363 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 2011100100009 in words is "two trillion, eleven billion, one hundred million, one hundred thousand, nine".