101112222102201 has 6 divisors (see below), whose sum is σ = 146050987480970. Its totient is φ = 67408148068128.

The previous prime is 101112222102197. The next prime is 101112222102209. The reversal of 101112222102201 is 102201222211101.

101112222102201 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 222 + 210 + 220 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77310518169600 + 23801703932601 = 8792640^2 + 4878699^2 .

It is not a de Polignac number, because 101112222102201 - 2² = 101112222102197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112222102209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617345672336 + ... + 5617345672353.

Almost surely, 2^{101112222102201} is an apocalyptic number.

It is an amenable number.

101112222102201 is a deficient number, since it is larger than the sum of its proper divisors (44938765378769).

101112222102201 is a wasteful number, since it uses less digits than its factorization.

101112222102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234691344695 (or 11234691344692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101112222102201 its reverse (102201222211101), we get a palindrome (203313444313302).

The spelling of 101112222102201 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two million, one hundred two thousand, two hundred one".