221112423133101 has 6 divisors (see below), whose sum is σ = 319384611192270. Its totient is φ = 147408282088728.

The previous prime is 221112423133093. The next prime is 221112423133103. The reversal of 221112423133101 is 101331324211122.

221112423133101 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 1 + 2 + 423 + 133 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 221091591984201 + 20831148900 = 14869149^2 + 144330^2 .

It is not a de Polignac number, because 221112423133101 - 2³ = 221112423133093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112423133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12284023507386 + ... + 12284023507403.

It is an arithmetic number, because the mean of its divisors is an integer number (53230768532045).

Almost surely, 2^{221112423133101} is an apocalyptic number.

It is an amenable number.

221112423133101 is a deficient number, since it is larger than the sum of its proper divisors (98272188059169).

221112423133101 is a wasteful number, since it uses less digits than its factorization.

221112423133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24568047014795 (or 24568047014792 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 221112423133101 its reverse (101331324211122), we get a palindrome (322443747344223).

The spelling of 221112423133101 in words is "two hundred twenty-one trillion, one hundred twelve billion, four hundred twenty-three million, one hundred thirty-three thousand, one hundred one".