1001010000111 has 16 divisors (see below), whose sum is σ = 1541662460928. Its totient is φ = 570986096000.

The previous prime is 1001010000083. The next prime is 1001010000127. The reversal of 1001010000111 is 1110000101001.

1001010000111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001010000111 - 2¹¹ = 1001009998063 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001010000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010000161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892165215 + ... + 892166336.

It is an arithmetic number, because the mean of its divisors is an integer number (96353903808).

Almost surely, 2^{1001010000111} is an apocalyptic number.

1001010000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001010000111 is a deficient number, since it is larger than the sum of its proper divisors (540652460817).

1001010000111 is a wasteful number, since it uses less digits than its factorization.

1001010000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784331582.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001010000111 its reverse (1110000101001), we get a palindrome (2111010101112).

The spelling of 1001010000111 in words is "one trillion, one billion, ten million, one hundred eleven", and thus it is an aban number.