22132330320100 has 288 divisors, whose sum is σ = 64612360544256. Its totient is φ = 6355069401600.

The previous prime is 22132330320049. The next prime is 22132330320131. The reversal of 22132330320100 is 102303323122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50130517 + ... + 50570083.

It is an arithmetic number, because the mean of its divisors is an integer number (224348474112).

Almost surely, 2^{22132330320100} is an apocalyptic number.

22132330320100 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 22132330320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32306180272128).

22132330320100 is an abundant number, since it is smaller than the sum of its proper divisors (42480030224156).

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

22132330320100 is a wasteful number, since it uses less digits than its factorization.

22132330320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440115 (or 440108 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22132330320100 its reverse (102303323122), we get a palindrome (22234633643222).

The spelling of 22132330320100 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred thirty million, three hundred twenty thousand, one hundred".