10111011011011 has 8 divisors (see below), whose sum is σ = 10211198244624. Its totient is φ = 10010825311200.

The previous prime is 10111011010973. The next prime is 10111011011053. The reversal of 10111011011011 is 11011011011101.

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 10111011011011 - 2¹¹ = 10111011008963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111011011911) 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, 16553601 + ... + 17153533.

It is an arithmetic number, because the mean of its divisors is an integer number (1276399780578).

Almost surely, 2^{10111011011011} is an apocalyptic number.

10111011011011 is a deficient number, since it is larger than the sum of its proper divisors (100187233613).

10111011011011 is a wasteful number, since it uses less digits than its factorization.

10111011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766901.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111011011011 its reverse (11011011011101), we get a palindrome (21122022022112).

It can be divided in two parts, 101 and 11011011011, that multiplied together give a palindrome (1112112112111).

The spelling of 10111011011011 in words is "ten trillion, one hundred eleven billion, eleven million, eleven thousand, eleven".