22210121330100 has 864 divisors, whose sum is σ = 83166093696000. Its totient is φ = 5041697126400.

The previous prime is 22210121330029. The next prime is 22210121330143. The reversal of 22210121330100 is 103312101222.

22210121330100 is a `hidden beast` number, since 2 + 2 + 210 + 1 + 21 + 330 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1708070199 + ... + 1708083201.

Almost surely, 2^{22210121330100} is an apocalyptic number.

22210121330100 is a gapful number since it is divisible by the number (20) 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 22210121330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41583046848000).

22210121330100 is an abundant number, since it is smaller than the sum of its proper divisors (60955972365900).

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

22210121330100 is a wasteful number, since it uses less digits than its factorization.

22210121330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22210121330100 its reverse (103312101222), we get a palindrome (22313433431322).

The spelling of 22210121330100 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-one million, three hundred thirty thousand, one hundred".