12022112012101 has 24 divisors (see below), whose sum is σ = 13160102233464. Its totient is φ = 10971828950400.

The previous prime is 12022112012093. The next prime is 12022112012123. The reversal of 12022112012101 is 10121021122021.

It can be written as a sum of positive squares in 4 ways, for example, as 4514566812001 + 7507545200100 = 2124751^2 + 2739990^2 .

It is not a de Polignac number, because 12022112012101 - 2³ = 12022112012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022112012171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3106690 + ... + 5804803.

It is an arithmetic number, because the mean of its divisors is an integer number (548337593061).

Almost surely, 2^{12022112012101} is an apocalyptic number.

It is an amenable number.

12022112012101 is a deficient number, since it is larger than the sum of its proper divisors (1137990221363).

12022112012101 is a wasteful number, since it uses less digits than its factorization.

12022112012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911669 (or 8911650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12022112012101 its reverse (10121021122021), we get a palindrome (22143133134122).

The spelling of 12022112012101 in words is "twelve trillion, twenty-two billion, one hundred twelve million, twelve thousand, one hundred one".