10011010010011 has 8 divisors (see below), whose sum is σ = 10115149290624. Its totient is φ = 9906889770240.

The previous prime is 10011010009999. The next prime is 10011010010021. The reversal of 10011010010011 is 11001001011001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011010010011 - 2¹⁷ = 10011009878939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011010009976 and 10011010010003.

It is not an unprimeable number, because it can be changed into a prime (10011010010021) 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 7 ways as a sum of consecutive naturals, for example, 3701995 + ... + 5807476.

It is an arithmetic number, because the mean of its divisors is an integer number (1264393661328).

Almost surely, 2^{10011010010011} is an apocalyptic number.

10011010010011 is a deficient number, since it is larger than the sum of its proper divisors (104139280613).

10011010010011 is an equidigital number, since it uses as much as digits as its factorization.

10011010010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520421.

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

Adding to 10011010010011 its reverse (11001001011001), we get a palindrome (21012011021012).

The spelling of 10011010010011 in words is "ten trillion, eleven billion, ten million, ten thousand, eleven".