101100001101 has 8 divisors (see below), whose sum is σ = 147054547104. Its totient is φ = 61272727920.

The previous prime is 101100001063. The next prime is 101100001111.

101100001101 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 101100001101 - 2¹⁹ = 101099476813 is a prime.

101100001101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 101100001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531818166 + ... + 1531818231.

It is an arithmetic number, because the mean of its divisors is an integer number (18381818388).

Almost surely, 2^101100001101 is an apocalyptic number.

101100001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100001101 is a deficient number, since it is larger than the sum of its proper divisors (45954546003).

101100001101 is a wasteful number, since it uses less digits than its factorization.

101100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063636411.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 10110000 and 1101, that added together give a palindrome (10111101).

The spelling of 101100001101 in words is "one hundred one billion, one hundred million, one thousand, one hundred one".