101100100101011 has 8 divisors (see below), whose sum is σ = 110327647693248. Its totient is φ = 91878657409000.

The previous prime is 101100100101001. The next prime is 101100100101023. The reversal of 101100100101011 is 110101001001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101100100101011 - 2³⁰ = 101099026359187 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100100101011.

It is not an unprimeable number, because it can be changed into a prime (101100100101001) 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, 1526190425 + ... + 1526256666.

It is an arithmetic number, because the mean of its divisors is an integer number (13790955961656).

Almost surely, 2^{101100100101011} is an apocalyptic number.

101100100101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100100101011 is a deficient number, since it is larger than the sum of its proper divisors (9227547592237).

101100100101011 is a wasteful number, since it uses less digits than its factorization.

101100100101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052450113.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100100101011 its reverse (110101001001101), we get a palindrome (211201101102112).

The spelling of 101100100101011 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred one thousand, eleven".