100101011101101 has 48 divisors (see below), whose sum is σ = 161158490101440. Its totient is φ = 59500863152640.

The previous prime is 100101011101081. The next prime is 100101011101111. The reversal of 100101011101101 is 101101110101001.

It is not a de Polignac number, because 100101011101101 - 2¹⁸ = 100101010838957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011101111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92991766 + ... + 94062056.

It is an arithmetic number, because the mean of its divisors is an integer number (3357468543780).

Almost surely, 2^{100101011101101} is an apocalyptic number.

It is an amenable number.

100101011101101 is a deficient number, since it is larger than the sum of its proper divisors (61057479000339).

100101011101101 is a wasteful number, since it uses less digits than its factorization.

100101011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102506 (or 1102503 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101011101101 its reverse (101101110101001), we get a palindrome (201202121202102).

The spelling of 100101011101101 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred one thousand, one hundred one".