101101010110011 has 24 divisors (see below), whose sum is σ = 150063592007264. Its totient is φ = 65543217223680.

The previous prime is 101101010110003. The next prime is 101101010110013. The reversal of 101101010110011 is 110011010101101.

It is not a de Polignac number, because 101101010110011 - 2³ = 101101010110003 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 = 101101010109975 and 101101010110002.

It is not an unprimeable number, because it can be changed into a prime (101101010110013) 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, 82297606 + ... + 83517051.

Almost surely, 2^{101101010110011} is an apocalyptic number.

101101010110011 is a deficient number, since it is larger than the sum of its proper divisors (48962581897253).

101101010110011 is a wasteful number, since it uses less digits than its factorization.

101101010110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165816531 (or 165816528 counting only the distinct ones).

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

Adding to 101101010110011 its reverse (110011010101101), we get a palindrome (211112020211112).

The spelling of 101101010110011 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred ten thousand, eleven".