10001101111011 has 12 divisors (see below), whose sum is σ = 14451876472488. Its totient is φ = 6664704647904.

The previous prime is 10001101111009. The next prime is 10001101111033. The reversal of 10001101111011 is 11011110110001.

It is not a de Polignac number, because 10001101111011 - 2¹ = 10001101111009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001101110984 and 10001101111002.

It is not an unprimeable number, because it can be changed into a prime (10001101111061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224650905 + ... + 224695418.

It is an arithmetic number, because the mean of its divisors is an integer number (1204323039374).

Almost surely, 2^{10001101111011} is an apocalyptic number.

10001101111011 is a deficient number, since it is larger than the sum of its proper divisors (4450775361477).

10001101111011 is a wasteful number, since it uses less digits than its factorization.

10001101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449348802 (or 449348799 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10001101111011 its reverse (11011110110001), we get a palindrome (21012211221012).

The spelling of 10001101111011 in words is "ten trillion, one billion, one hundred one million, one hundred eleven thousand, eleven".