2232023201100 has 648 divisors, whose sum is σ = 8897265913536. Its totient is φ = 462803040000.

The previous prime is 2232023201087. The next prime is 2232023201129. The reversal of 2232023201100 is 11023202322.

2232023201100 is a `hidden beast` number, since 2 + 2 + 320 + 232 + 0 + 110 + 0 = 666.

It is a super-3 number, since 3×2232023201100³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 238179415 + ... + 238188785.

It is an arithmetic number, because the mean of its divisors is an integer number (13730348632).

Almost surely, 2^{2232023201100} is an apocalyptic number.

2232023201100 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 2232023201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448632956768).

2232023201100 is an abundant number, since it is smaller than the sum of its proper divisors (6665242712436).

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

2232023201100 is a wasteful number, since it uses less digits than its factorization.

2232023201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2232023201100 its reverse (11023202322), we get a palindrome (2243046403422).

The spelling of 2232023201100 in words is "two trillion, two hundred thirty-two billion, twenty-three million, two hundred one thousand, one hundred".