10100011001011 has 8 divisors (see below), whose sum is σ = 10634744433600. Its totient is φ = 9565592959080.

The previous prime is 10100011000967. The next prime is 10100011001027. The reversal of 10100011001011 is 11010011000101.

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 a de Polignac number, because none of the positive numbers 2^k-10100011001011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100011000985 and 10100011001003.

It is not an unprimeable number, because it can be changed into a prime (10100011601011) 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, 78781921 + ... + 78910018.

It is an arithmetic number, because the mean of its divisors is an integer number (1329343054200).

Almost surely, 2^{10100011001011} is an apocalyptic number.

10100011001011 is a deficient number, since it is larger than the sum of its proper divisors (534733432589).

10100011001011 is a wasteful number, since it uses less digits than its factorization.

10100011001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157695329.

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

Adding to 10100011001011 its reverse (11010011000101), we get a palindrome (21110022001112).

The spelling of 10100011001011 in words is "ten trillion, one hundred billion, eleven million, one thousand, eleven".