10112122012221 has 6 divisors (see below), whose sum is σ = 14606398462110. Its totient is φ = 6741414674808.

The previous prime is 10112122012219. The next prime is 10112122012231. The reversal of 10112122012221 is 12221022121101.

10112122012221 is a `hidden beast` number, since 101 + 121 + 220 + 1 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6620642909721 + 3491479102500 = 2573061^2 + 1868550^2 .

It is not a de Polignac number, because 10112122012221 - 2¹ = 10112122012219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112122012194 and 10112122012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112122012231) 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, 561784556226 + ... + 561784556243.

It is an arithmetic number, because the mean of its divisors is an integer number (2434399743685).

Almost surely, 2^{10112122012221} is an apocalyptic number.

It is an amenable number.

10112122012221 is a deficient number, since it is larger than the sum of its proper divisors (4494276449889).

10112122012221 is a wasteful number, since it uses less digits than its factorization.

10112122012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123569112475 (or 1123569112472 counting only the distinct ones).

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

Adding to 10112122012221 its reverse (12221022121101), we get a palindrome (22333144133322).

The spelling of 10112122012221 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, two hundred twenty-one".