10111001101011 has 12 divisors (see below), whose sum is σ = 14789649994080. Its totient is φ = 6655342496400.

The previous prime is 10111001100997. The next prime is 10111001101021. The reversal of 10111001101011 is 11010110011101.

It is not a de Polignac number, because 10111001101011 - 2²² = 10110996906707 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 = 10111001100984 and 10111001101002.

It is not an unprimeable number, because it can be changed into a prime (10111001101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7110407940 + ... + 7110409361.

It is an arithmetic number, because the mean of its divisors is an integer number (1232470832840).

Almost surely, 2^{10111001101011} is an apocalyptic number.

10111001101011 is a deficient number, since it is larger than the sum of its proper divisors (4678648893069).

10111001101011 is a wasteful number, since it uses less digits than its factorization.

10111001101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14220817386 (or 14220817383 counting only the distinct ones).

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

Adding to 10111001101011 its reverse (11010110011101), we get a palindrome (21121111112112).

The spelling of 10111001101011 in words is "ten trillion, one hundred eleven billion, one million, one hundred one thousand, eleven".