10001001101011 has 8 divisors (see below), whose sum is σ = 10092858019200. Its totient is φ = 9909146085120.

The previous prime is 10001001100939. The next prime is 10001001101017. The reversal of 10001001101011 is 11010110010001.

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 10001001101011 - 2⁹ = 10001001100499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001001100985 and 10001001101003.

It is not an unprimeable number, because it can be changed into a prime (10001001101017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11455491 + ... + 12297571.

It is an arithmetic number, because the mean of its divisors is an integer number (1261607252400).

Almost surely, 2^{10001001101011} is an apocalyptic number.

10001001101011 is a deficient number, since it is larger than the sum of its proper divisors (91856918189).

10001001101011 is a wasteful number, since it uses less digits than its factorization.

10001001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951149.

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

Adding to 10001001101011 its reverse (11010110010001), we get a palindrome (21011111111012).

The spelling of 10001001101011 in words is "ten trillion, one billion, one million, one hundred one thousand, eleven".