22150213102200 has 384 divisors, whose sum is σ = 72005516352000. Its totient is φ = 5625522739200.

The previous prime is 22150213102169. The next prime is 22150213102219. The reversal of 22150213102200 is 220131205122.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 380630706 + ... + 380688894.

It is an arithmetic number, because the mean of its divisors is an integer number (187514365500).

Almost surely, 2^{22150213102200} is an apocalyptic number.

22150213102200 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 22150213102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36002758176000).

22150213102200 is an abundant number, since it is smaller than the sum of its proper divisors (49855303249800).

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

22150213102200 is a wasteful number, since it uses less digits than its factorization.

22150213102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58535 (or 58526 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 22150213102200 its reverse (220131205122), we get a palindrome (22370344307322).

The spelling of 22150213102200 in words is "twenty-two trillion, one hundred fifty billion, two hundred thirteen million, one hundred two thousand, two hundred".