10010001101011 has 8 divisors (see below), whose sum is σ = 10355279824800. Its totient is φ = 9664729462080.

The previous prime is 10010001100999. The next prime is 10010001101017. The reversal of 10010001101011 is 11010110001001.

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-10010001101011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010001100985 and 10010001101003.

It is not an unprimeable number, because it can be changed into a prime (10010001101017) 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, 1187031 + ... + 4629151.

It is an arithmetic number, because the mean of its divisors is an integer number (1294409978100).

Almost surely, 2^{10010001101011} is an apocalyptic number.

10010001101011 is a deficient number, since it is larger than the sum of its proper divisors (345278723789).

10010001101011 is a wasteful number, since it uses less digits than its factorization.

10010001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542429.

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

Adding to 10010001101011 its reverse (11010110001001), we get a palindrome (21020111102012).

The spelling of 10010001101011 in words is "ten trillion, ten billion, one million, one hundred one thousand, eleven".