22101421142112 has 192 divisors, whose sum is σ = 63134956523520. Its totient is φ = 6729068888064.

The previous prime is 22101421142063. The next prime is 22101421142113. The reversal of 22101421142112 is 21124112410122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101421142113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801255873 + ... + 801283455.

It is an arithmetic number, because the mean of its divisors is an integer number (328827898560).

Almost surely, 2^{22101421142112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101421142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31567478261760).

22101421142112 is an abundant number, since it is smaller than the sum of its proper divisors (41033535381408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22101421142112 is a wasteful number, since it uses less digits than its factorization.

22101421142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34325 (or 34317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 22101421142112 its reverse (21124112410122), we get a palindrome (43225533552234).

The spelling of 22101421142112 in words is "twenty-two trillion, one hundred one billion, four hundred twenty-one million, one hundred forty-two thousand, one hundred twelve".