2001000000111 has 32 divisors (see below), whose sum is σ = 3053034302976. Its totient is φ = 1141969968000.

The previous prime is 2001000000107. The next prime is 2001000000113. The reversal of 2001000000111 is 1110000001002.

It is not a de Polignac number, because 2001000000111 - 2² = 2001000000107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001000000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000000113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84272701 + ... + 84296441.

It is an arithmetic number, because the mean of its divisors is an integer number (95407321968).

Almost surely, 2^{2001000000111} is an apocalyptic number.

2001000000111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001000000111 is a deficient number, since it is larger than the sum of its proper divisors (1052034302865).

2001000000111 is a wasteful number, since it uses less digits than its factorization.

2001000000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28703.

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

Adding to 2001000000111 its reverse (1110000001002), we get a palindrome (3111000001113).

The spelling of 2001000000111 in words is "two trillion, one billion, one hundred eleven", and thus it is an aban number.