1010000010111 has 16 divisors (see below), whose sum is σ = 1417705280640. Its totient is φ = 637822110240.

The previous prime is 1010000010079. The next prime is 1010000010133. The reversal of 1010000010111 is 1110100000101.

It is not a de Polignac number, because 1010000010111 - 2⁵ = 1010000010079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010000010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501585 + ... + 1507178.

It is an arithmetic number, because the mean of its divisors is an integer number (88606580040).

Almost surely, 2^{1010000010111} is an apocalyptic number.

1010000010111 is a deficient number, since it is larger than the sum of its proper divisors (407705270529).

1010000010111 is a wasteful number, since it uses less digits than its factorization.

1010000010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017606.

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

Adding to 1010000010111 its reverse (1110100000101), we get a palindrome (2120100010212).

It can be divided in two parts, 10100000101 and 11, that multiplied together give a palindrome (111100001111).

The spelling of 1010000010111 in words is "one trillion, ten billion, ten thousand, one hundred eleven".