220120110002100 has 432 divisors, whose sum is σ = 808300498582080. Its totient is φ = 45734259916800.

The previous prime is 220120110002099. The next prime is 220120110002129. The reversal of 220120110002100 is 1200011021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1589280052 + ... + 1589418548.

It is an arithmetic number, because the mean of its divisors is an integer number (1871065968940).

Almost surely, 2^{220120110002100} is an apocalyptic number.

220120110002100 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 220120110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404150249291040).

220120110002100 is an abundant number, since it is smaller than the sum of its proper divisors (588180388579980).

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

220120110002100 is a wasteful number, since it uses less digits than its factorization.

220120110002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148368 (or 148354 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220120110002100 its reverse (1200011021022), we get a palindrome (221320121023122).

The spelling of 220120110002100 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred ten million, two thousand, one hundred".