2223032120100 has 432 divisors, whose sum is σ = 8053691405760. Its totient is φ = 506892902400.

The previous prime is 2223032120053. The next prime is 2223032120129. The reversal of 2223032120100 is 10212303222.

2223032120100 is a `hidden beast` number, since 2 + 223 + 0 + 321 + 20 + 100 = 666.

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 143 ways as a sum of consecutive naturals, for example, 351575539 + ... + 351581861.

It is an arithmetic number, because the mean of its divisors is an integer number (18642804180).

Almost surely, 2^{2223032120100} is an apocalyptic number.

2223032120100 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 2223032120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026845702880).

2223032120100 is an abundant number, since it is smaller than the sum of its proper divisors (5830659285660).

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

2223032120100 is a wasteful number, since it uses less digits than its factorization.

2223032120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8450 counting only the distinct ones).

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

Adding to 2223032120100 its reverse (10212303222), we get a palindrome (2233244423322).

The spelling of 2223032120100 in words is "two trillion, two hundred twenty-three billion, thirty-two million, one hundred twenty thousand, one hundred".