221112121200101 has 16 divisors (see below), whose sum is σ = 229310673715200. Its totient is φ = 212982514311600.

The previous prime is 221112121200071. The next prime is 221112121200193. The reversal of 221112121200101 is 101002121211122.

221112121200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221112121200101 - 2³⁰ = 221111047458277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221112121200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112121208101) 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, 13686245 + ... + 25090586.

It is an arithmetic number, because the mean of its divisors is an integer number (14331917107200).

Almost surely, 2^{221112121200101} is an apocalyptic number.

It is an amenable number.

221112121200101 is a deficient number, since it is larger than the sum of its proper divisors (8198552515099).

221112121200101 is a wasteful number, since it uses less digits than its factorization.

221112121200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38777720.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221112121200101 its reverse (101002121211122), we get a palindrome (322114242411223).

The spelling of 221112121200101 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, one hundred one".