100111211102201 has 16 divisors (see below), whose sum is σ = 107944573007040. Its totient is φ = 92296822593600.

The previous prime is 100111211102159. The next prime is 100111211102249. The reversal of 100111211102201 is 102201112111001.

It is a cyclic number.

It is not a de Polignac number, because 100111211102201 - 2¹⁰ = 100111211101177 is a prime.

It is a super-2 number, since 2×100111211102201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111211102501) 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, 52730831 + ... + 54596363.

It is an arithmetic number, because the mean of its divisors is an integer number (6746535812940).

Almost surely, 2^{100111211102201} is an apocalyptic number.

It is an amenable number.

100111211102201 is a deficient number, since it is larger than the sum of its proper divisors (7833361904839).

100111211102201 is a wasteful number, since it uses less digits than its factorization.

100111211102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870616.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111211102201 its reverse (102201112111001), we get a palindrome (202312323213202).

The spelling of 100111211102201 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, one hundred two thousand, two hundred one".