101101000011011 has 16 divisors (see below), whose sum is σ = 135744000016128. Its totient is φ = 72720000007200.

The previous prime is 101101000011001. The next prime is 101101000011023. The reversal of 101101000011011 is 110110000101101.

It is not a de Polignac number, because 101101000011011 - 2⁶ = 101101000010947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101000011011.

It is not an unprimeable number, because it can be changed into a prime (101101000011001) 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, 50499999005 + ... + 50500001006.

It is an arithmetic number, because the mean of its divisors is an integer number (8484000001008).

Almost surely, 2^{101101000011011} is an apocalyptic number.

101101000011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101000011011 is a deficient number, since it is larger than the sum of its proper divisors (34643000005117).

101101000011011 is a wasteful number, since it uses less digits than its factorization.

101101000011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101000000042.

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

Adding to 101101000011011 its reverse (110110000101101), we get a palindrome (211211000112112).

The spelling of 101101000011011 in words is "one hundred one trillion, one hundred one billion, eleven thousand, eleven".