100010001010011 has 24 divisors (see below), whose sum is σ = 144550452396240. Its totient is φ = 61292038864896.

The previous prime is 100010001009973. The next prime is 100010001010033. The reversal of 100010001010011 is 110010100010001.

It is not a de Polignac number, because 100010001010011 - 2⁷ = 100010001009883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010001010111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530187046 + ... + 530375643.

It is an arithmetic number, because the mean of its divisors is an integer number (6022935516510).

Almost surely, 2^{100010001010011} is an apocalyptic number.

100010001010011 is a deficient number, since it is larger than the sum of its proper divisors (44540451386229).

100010001010011 is a wasteful number, since it uses less digits than its factorization.

100010001010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060562795 (or 1060562752 counting only the distinct ones).

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

Adding to 100010001010011 its reverse (110010100010001), we get a palindrome (210020101020012).

It can be divided in two parts, 10001000 and 1010011, that added together give a palindrome (11011011).

The spelling of 100010001010011 in words is "one hundred trillion, ten billion, one million, ten thousand, eleven".