22102002100200 has 384 divisors, whose sum is σ = 79764929003520. Its totient is φ = 5003170099200.

The previous prime is 22102002100193. The next prime is 22102002100201. The reversal of 22102002100200 is 200120020122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22102002100201) 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, 13473859 + ... + 15024941.

It is an arithmetic number, because the mean of its divisors is an integer number (207721169280).

Almost surely, 2^{22102002100200} is an apocalyptic number.

22102002100200 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 22102002100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39882464501760).

22102002100200 is an abundant number, since it is smaller than the sum of its proper divisors (57662926903320).

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

22102002100200 is a wasteful number, since it uses less digits than its factorization.

22102002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551257 (or 1551248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22102002100200 its reverse (200120020122), we get a palindrome (22302122120322).

The spelling of 22102002100200 in words is "twenty-two trillion, one hundred two billion, two million, one hundred thousand, two hundred".