100000001101101 has 16 divisors (see below), whose sum is σ = 135385305721344. Its totient is φ = 65648143654064.

The previous prime is 100000001101093. The next prime is 100000001101127. The reversal of 100000001101101 is 101101100000001.

It is a cyclic number.

It is not a de Polignac number, because 100000001101101 - 2³ = 100000001101093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000001101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932660415 + ... + 932767628.

It is an arithmetic number, because the mean of its divisors is an integer number (8461581607584).

Almost surely, 2^{100000001101101} is an apocalyptic number.

It is an amenable number.

100000001101101 is a deficient number, since it is larger than the sum of its proper divisors (35385304620243).

100000001101101 is a wasteful number, since it uses less digits than its factorization.

100000001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865428320.

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

Adding to 100000001101101 its reverse (101101100000001), we get a palindrome (201101101101102).

It can be divided in two parts, 100000001 and 101101, that multiplied together give a palindrome (10110100101101).

The spelling of 100000001101101 in words is "one hundred trillion, one million, one hundred one thousand, one hundred one".