2220033113100 has 648 divisors, whose sum is σ = 7887625409664. Its totient is φ = 521554176000.

The previous prime is 2220033113087. The next prime is 2220033113171. The reversal of 2220033113100 is 13113300222.

2220033113100 is a `hidden beast` number, since 2 + 2 + 20 + 0 + 331 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×2220033113100² (a number of 25 digits) contains 22 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, 700987717 + ... + 700990883.

Almost surely, 2^{2220033113100} is an apocalyptic number.

2220033113100 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 2220033113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943812704832).

2220033113100 is an abundant number, since it is smaller than the sum of its proper divisors (5667592296564).

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

2220033113100 is a wasteful number, since it uses less digits than its factorization.

2220033113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2220033113100 its reverse (13113300222), we get a palindrome (2233146413322).

The spelling of 2220033113100 in words is "two trillion, two hundred twenty billion, thirty-three million, one hundred thirteen thousand, one hundred".