100011001010011 has 48 divisors (see below), whose sum is σ = 125884665984000. Its totient is φ = 78753255400512.

The previous prime is 100011001009949. The next prime is 100011001010029. The reversal of 100011001010011 is 110010100110001.

It is a happy number.

It is not a de Polignac number, because 100011001010011 - 2¹⁷ = 100011000878939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100011001009976 and 100011001010003.

It is not an unprimeable number, because it can be changed into a prime (100011001070011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531034540 + ... + 531222838.

It is an arithmetic number, because the mean of its divisors is an integer number (2622597208000).

Almost surely, 2^{100011001010011} is an apocalyptic number.

100011001010011 is a deficient number, since it is larger than the sum of its proper divisors (25873664973989).

100011001010011 is a wasteful number, since it uses less digits than its factorization.

100011001010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192288 (or 192281 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011001010011 its reverse (110010100110001), we get a palindrome (210021101120012).

The spelling of 100011001010011 in words is "one hundred trillion, eleven billion, one million, ten thousand, eleven".