221112122020101 has 12 divisors (see below), whose sum is σ = 343952189809228. Its totient is φ = 136068998166144.

The previous prime is 221112122020067. The next prime is 221112122020217. The reversal of 221112122020101 is 101020221211122.

221112122020101 is a `hidden beast` number, since 221 + 1 + 1 + 21 + 220 + 201 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73994386796001 + 147117735224100 = 8601999^2 + 12129210^2 .

It is not a de Polignac number, because 221112122020101 - 2¹⁰ = 221112122019077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112122020001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944923598260 + ... + 944923598493.

Almost surely, 2^{221112122020101} is an apocalyptic number.

It is an amenable number.

221112122020101 is a deficient number, since it is larger than the sum of its proper divisors (122840067789127).

221112122020101 is a wasteful number, since it uses less digits than its factorization.

221112122020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889847196772 (or 1889847196769 counting only the distinct ones).

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

Adding to 221112122020101 its reverse (101020221211122), we get a palindrome (322132343231223).

The spelling of 221112122020101 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, twenty thousand, one hundred one".