101101100001011 has 8 divisors (see below), whose sum is σ = 116096956939200. Its totient is φ = 87072717704040.

The previous prime is 101101100001001. The next prime is 101101100001073. The reversal of 101101100001011 is 110100001101101.

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

It is a cyclic number.

It is not a de Polignac number, because 101101100001011 - 2²² = 101101095806707 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 101101100001011.

It is not an unprimeable number, because it can be changed into a prime (101101100001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241868660081 + ... + 241868660498.

It is an arithmetic number, because the mean of its divisors is an integer number (14512119617400).

Almost surely, 2^{101101100001011} is an apocalyptic number.

101101100001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101100001011 is a deficient number, since it is larger than the sum of its proper divisors (14995856938189).

101101100001011 is a wasteful number, since it uses less digits than its factorization.

101101100001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483737320609.

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

Adding to 101101100001011 its reverse (110100001101101), we get a palindrome (211201101102112).

The spelling of 101101100001011 in words is "one hundred one trillion, one hundred one billion, one hundred million, one thousand, eleven".