101101101101101 has 32 divisors (see below), whose sum is σ = 108364782661632. Its totient is φ = 94159584000000.

The previous prime is 101101101101087. The next prime is 101101101101173.

It is a happy number.

101101101101101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101101101101101 - 2¹³ = 101101101092909 is a prime.

101101101101101 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{101101101101100}.

101101101101101 is a modest number, since divided by 101101101 gives 101101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101101191) 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 31 ways as a sum of consecutive naturals, for example, 33335461 + ... + 36241621.

It is an arithmetic number, because the mean of its divisors is an integer number (3386399458176).

Almost surely, 2^{101101101101101} is an apocalyptic number.

It is an amenable number.

101101101101101 is a deficient number, since it is larger than the sum of its proper divisors (7263681560531).

101101101101101 is a wasteful number, since it uses less digits than its factorization.

101101101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906605.

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

It can be divided in two parts, 101101101101 and 101, that multiplied together give a palindrome (10211211211201).

The spelling of 101101101101101 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred one".