22124131412101 has 8 divisors (see below), whose sum is σ = 22204430474904. Its totient is φ = 22043835432960.

The previous prime is 22124131412069. The next prime is 22124131412171. The reversal of 22124131412101 is 10121413142122.

It can be written as a sum of positive squares in 4 ways, for example, as 1109333456001 + 21014797956100 = 1053249^2 + 4584190^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22124131412101 - 2⁵ = 22124131412069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124131412171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14125701 + ... + 15613573.

It is an arithmetic number, because the mean of its divisors is an integer number (2775553809363).

Almost surely, 2^{22124131412101} is an apocalyptic number.

It is an amenable number.

22124131412101 is a deficient number, since it is larger than the sum of its proper divisors (80299062803).

22124131412101 is a wasteful number, since it uses less digits than its factorization.

22124131412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541831.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 22124131412101 its reverse (10121413142122), we get a palindrome (32245544554223).

The spelling of 22124131412101 in words is "twenty-two trillion, one hundred twenty-four billion, one hundred thirty-one million, four hundred twelve thousand, one hundred one".