2000100111 has 8 divisors (see below), whose sum is σ = 2673838080. Its totient is φ = 1329881112.

The previous prime is 2000100097. The next prime is 2000100131. The reversal of 2000100111 is 1110010002.

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

It is not a de Polignac number, because 2000100111 - 2²⁹ = 1463229199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878415 + ... + 880688.

It is an arithmetic number, because the mean of its divisors is an integer number (334229760).

Almost surely, 2^2000100111 is an apocalyptic number.

2000100111 is a deficient number, since it is larger than the sum of its proper divisors (673737969).

2000100111 is a wasteful number, since it uses less digits than its factorization.

2000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759485.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2000100111 is about 44722.4788109962. The cubic root of 2000100111 is about 1259.9420715368.

Adding to 2000100111 its reverse (1110010002), we get a palindrome (3110110113).

The spelling of 2000100111 in words is "two billion, one hundred thousand, one hundred eleven".