42221102134200 has 384 divisors, whose sum is σ = 144309962499840. Its totient is φ = 10126195200000.

The previous prime is 42221102134171. The next prime is 42221102134207. The reversal of 42221102134200 is 243120112224.

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 (42221102134207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 880554627 + ... + 880602573.

It is an arithmetic number, because the mean of its divisors is an integer number (375807194010).

Almost surely, 2^{42221102134200} is an apocalyptic number.

42221102134200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221102134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72154981249920).

42221102134200 is an abundant number, since it is smaller than the sum of its proper divisors (102088860365640).

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

42221102134200 is a wasteful number, since it uses less digits than its factorization.

42221102134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49399 (or 49390 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42221102134200 its reverse (243120112224), we get a palindrome (42464222246424).

The spelling of 42221102134200 in words is "forty-two trillion, two hundred twenty-one billion, one hundred two million, one hundred thirty-four thousand, two hundred".