220111100010120 has 256 divisors, whose sum is σ = 730238802336000. Its totient is φ = 52631702323200.

The previous prime is 220111100010097. The next prime is 220111100010127. The reversal of 220111100010120 is 21010001111022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220111100010096 and 220111100010105.

It is not an unprimeable number, because it can be changed into a prime (220111100010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45758850 + ... + 50339790.

It is an arithmetic number, because the mean of its divisors is an integer number (2852495321625).

Almost surely, 2^{220111100010120} is an apocalyptic number.

220111100010120 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 220111100010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365119401168000).

220111100010120 is an abundant number, since it is smaller than the sum of its proper divisors (510127702325880).

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

220111100010120 is a wasteful number, since it uses less digits than its factorization.

220111100010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581464 (or 4581460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 220111100010120 its reverse (21010001111022), we get a palindrome (241121101121142).

The spelling of 220111100010120 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred million, ten thousand, one hundred twenty".