100100101101101 has 8 divisors (see below), whose sum is σ = 100238650975008. Its totient is φ = 99961636942000.

The previous prime is 100100101101053. The next prime is 100100101101109. The reversal of 100100101101101 is 101101101001001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100101101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101101109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19091255 + ... + 23762916.

It is an arithmetic number, because the mean of its divisors is an integer number (12529831371876).

Almost surely, 2^{100100101101101} is an apocalyptic number.

It is an amenable number.

100100101101101 is a deficient number, since it is larger than the sum of its proper divisors (138549873907).

100100101101101 is a wasteful number, since it uses less digits than its factorization.

100100101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42857403.

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

Adding to 100100101101101 its reverse (101101101001001), we get a palindrome (201201202102102).

It can be divided in two parts, 10010010 and 1101101, that added together give a palindrome (11111111).

The spelling of 100100101101101 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred one".