1000010000111 has 32 divisors (see below), whose sum is σ = 1128500674560. Its totient is φ = 881593121376.

The previous prime is 1000010000083. The next prime is 1000010000123. The reversal of 1000010000111 is 1110000100001.

It is not a de Polignac number, because 1000010000111 - 2⁶ = 1000010000047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000010000095 and 1000010000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010000161) 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, 3284240 + ... + 3575786.

It is an arithmetic number, because the mean of its divisors is an integer number (35265646080).

Almost surely, 2^{1000010000111} is an apocalyptic number.

1000010000111 is a deficient number, since it is larger than the sum of its proper divisors (128490674449).

1000010000111 is a wasteful number, since it uses less digits than its factorization.

1000010000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291803.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000010000111 its reverse (1110000100001), we get a palindrome (2110010100112).

It can be divided in two parts, 10000100001 and 11, that multiplied together give a palindrome (110001100011).

The spelling of 1000010000111 in words is "one trillion, ten million, one hundred eleven", and thus it is an aban number.