101110101011101 has 64 divisors (see below), whose sum is σ = 135475224385536. Its totient is φ = 73185870643200.

The previous prime is 101110101011089. The next prime is 101110101011177.

It is a happy number.

101110101011101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101110101011101 - 2⁵ = 101110101011069 is a prime.

101110101011101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110101011701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14247541 + ... + 20129893.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800381024).

Almost surely, 2^{101110101011101} is an apocalyptic number.

It is an amenable number.

101110101011101 is a deficient number, since it is larger than the sum of its proper divisors (34365123374435).

101110101011101 is a wasteful number, since it uses less digits than its factorization.

101110101011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882702.

The product of its (nonzero) digits is 1, while the sum is 10.

It can be divided in two parts, 10111010 and 1011101, that added together give a palindrome (11122111).

The spelling of 101110101011101 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, eleven thousand, one hundred one".