10001011111011 has 24 divisors (see below), whose sum is σ = 14519744182944. Its totient is φ = 6633263468160.

The previous prime is 10001011110967. The next prime is 10001011111019. The reversal of 10001011111011 is 11011111010001.

It is not a de Polignac number, because 10001011111011 - 2¹⁰ = 10001011109987 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 = 10001011110984 and 10001011111002.

It is not an unprimeable number, because it can be changed into a prime (10001011111019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61063671 + ... + 61227231.

It is an arithmetic number, because the mean of its divisors is an integer number (604989340956).

Almost surely, 2^{10001011111011} is an apocalyptic number.

10001011111011 is a deficient number, since it is larger than the sum of its proper divisors (4518733071933).

10001011111011 is a wasteful number, since it uses less digits than its factorization.

10001011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198251 (or 198248 counting only the distinct ones).

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

Adding to 10001011111011 its reverse (11011111010001), we get a palindrome (21012122121012).

It can be divided in two parts, 1000101 and 1111011, that added together give a palindrome (2111112).

The spelling of 10001011111011 in words is "ten trillion, one billion, eleven million, one hundred eleven thousand, eleven".