100001010111 has 16 divisors (see below), whose sum is σ = 138294160608. Its totient is φ = 64223280000.

The previous prime is 100001010091. The next prime is 100001010127. The reversal of 100001010111 is 111010100001.

It is not a de Polignac number, because 100001010111 - 2⁶ = 100001010047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010211) 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 15 ways as a sum of consecutive naturals, for example, 4448740 + ... + 4471161.

It is an arithmetic number, because the mean of its divisors is an integer number (8643385038).

Almost surely, 2^100001010111 is an apocalyptic number.

100001010111 is a deficient number, since it is larger than the sum of its proper divisors (38293150497).

100001010111 is a wasteful number, since it uses less digits than its factorization.

100001010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920042.

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

Adding to 100001010111 its reverse (111010100001), we get a palindrome (211011110112).

The spelling of 100001010111 in words is "one hundred billion, one million, ten thousand, one hundred eleven".