100110011011011 has 8 divisors (see below), whose sum is σ = 148311127423760. Its totient is φ = 66740007340656.

The previous prime is 100110011010943. The next prime is 100110011011081. The reversal of 100110011011011 is 110110110011001.

It is not a de Polignac number, because 100110011011011 - 2³⁴ = 100092831141827 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110011010984 and 100110011011002.

It is not an unprimeable number, because it can be changed into a prime (100110011011081) 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, 1853889092770 + ... + 1853889092823.

It is an arithmetic number, because the mean of its divisors is an integer number (18538890927970).

Almost surely, 2^{100110011011011} is an apocalyptic number.

100110011011011 is a deficient number, since it is larger than the sum of its proper divisors (48201116412749).

100110011011011 is an equidigital number, since it uses as much as digits as its factorization.

100110011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707778185602 (or 3707778185596 counting only the distinct ones).

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

Adding to 100110011011011 its reverse (110110110011001), we get a palindrome (210220121022012).

The spelling of 100110011011011 in words is "one hundred trillion, one hundred ten billion, eleven million, eleven thousand, eleven".