22202233130100 has 288 divisors, whose sum is σ = 65533305600000. Its totient is φ = 5802468203520.

The previous prime is 22202233130093. The next prime is 22202233130101. The reversal of 22202233130100 is 103133220222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202233130101) 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, 6918737296 + ... + 6918740504.

It is an arithmetic number, because the mean of its divisors is an integer number (227546200000).

Almost surely, 2^{22202233130100} is an apocalyptic number.

22202233130100 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 22202233130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32766652800000).

22202233130100 is an abundant number, since it is smaller than the sum of its proper divisors (43331072469900).

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

22202233130100 is a wasteful number, since it uses less digits than its factorization.

22202233130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22202233130100 its reverse (103133220222), we get a palindrome (22305366350322).

The spelling of 22202233130100 in words is "twenty-two trillion, two hundred two billion, two hundred thirty-three million, one hundred thirty thousand, one hundred".