11101101102001 has 16 divisors (see below), whose sum is σ = 11397264145344. Its totient is φ = 10806671441664.

The previous prime is 11101101101897. The next prime is 11101101102017. The reversal of 11101101102001 is 10020110110111.

It is a cyclic number.

It is not a de Polignac number, because 11101101102001 - 2³⁵ = 11066741363633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101101102101) 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, 186804045 + ... + 186863461.

It is an arithmetic number, because the mean of its divisors is an integer number (712329009084).

Almost surely, 2^{11101101102001} is an apocalyptic number.

It is an amenable number.

11101101102001 is a deficient number, since it is larger than the sum of its proper divisors (296163043343).

11101101102001 is a wasteful number, since it uses less digits than its factorization.

11101101102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73920.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11101101102001 its reverse (10020110110111), we get a palindrome (21121211212112).

The spelling of 11101101102001 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred two thousand, one".