220120102232100 has 648 divisors, whose sum is σ = 828134110649664. Its totient is φ = 47891881152000.

The previous prime is 220120102232071. The next prime is 220120102232159. The reversal of 220120102232100 is 1232201021022.

220120102232100 is a `hidden beast` number, since 2 + 201 + 20 + 10 + 223 + 210 + 0 = 666.

It is a super-4 number, since 4×220120102232100⁴ (a number of 58 digits) contains 4444 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, 369014287 + ... + 369610313.

Almost surely, 2^{220120102232100} is an apocalyptic number.

220120102232100 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 220120102232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414067055324832).

220120102232100 is an abundant number, since it is smaller than the sum of its proper divisors (608014008417564).

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

220120102232100 is a wasteful number, since it uses less digits than its factorization.

220120102232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596177 (or 596136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220120102232100 its reverse (1232201021022), we get a palindrome (221352303253122).

The spelling of 220120102232100 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred two million, two hundred thirty-two thousand, one hundred".