100101101011011 has 16 divisors (see below), whose sum is σ = 148298305501600. Its totient is φ = 66733897205664.

The previous prime is 100101101010949. The next prime is 100101101011031. The reversal of 100101101011011 is 110110101101001.

It is not a de Polignac number, because 100101101011011 - 2⁹ = 100101101010499 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 = 100101101010984 and 100101101011002.

It is not an unprimeable number, because it can be changed into a prime (100101101011031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6549825 + ... + 15591741.

It is an arithmetic number, because the mean of its divisors is an integer number (9268644093850).

Almost surely, 2^{100101101011011} is an apocalyptic number.

100101101011011 is a deficient number, since it is larger than the sum of its proper divisors (48197204490589).

100101101011011 is an equidigital number, since it uses as much as digits as its factorization.

100101101011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451955 (or 9451949 counting only the distinct ones).

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

Adding to 100101101011011 its reverse (110110101101001), we get a palindrome (210211202112012).

The spelling of 100101101011011 in words is "one hundred trillion, one hundred one billion, one hundred one million, eleven thousand, eleven".