100111001011011 has 24 divisors (see below), whose sum is σ = 144702045430800. Its totient is φ = 66695790237696.

The previous prime is 100111001011001. The next prime is 100111001011013. The reversal of 100111001011011 is 110110100111001.

It is not a de Polignac number, because 100111001011011 - 2¹⁸ = 100111000748867 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 = 100111001010984 and 100111001011002.

It is not an unprimeable number, because it can be changed into a prime (100111001011013) 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, 79930275 + ... + 81173091.

It is an arithmetic number, because the mean of its divisors is an integer number (6029251892950).

Almost surely, 2^{100111001011011} is an apocalyptic number.

100111001011011 is a deficient number, since it is larger than the sum of its proper divisors (44591044419789).

100111001011011 is a wasteful number, since it uses less digits than its factorization.

100111001011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248835 (or 1248832 counting only the distinct ones).

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

Adding to 100111001011011 its reverse (110110100111001), we get a palindrome (210221101122012).

The spelling of 100111001011011 in words is "one hundred trillion, one hundred eleven billion, one million, eleven thousand, eleven".