220011100121120 has 576 divisors, whose sum is σ = 658037592576000. Its totient is φ = 68040808704000.

The previous prime is 220011100120993. The next prime is 220011100121221. The reversal of 220011100121120 is 21121001110022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220011100121095 and 220011100121104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18805969031 + ... + 18805980729.

It is an arithmetic number, because the mean of its divisors is an integer number (1142426376000).

Almost surely, 2^{220011100121120} is an apocalyptic number.

220011100121120 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 220011100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329018796288000).

220011100121120 is an abundant number, since it is smaller than the sum of its proper divisors (438026492454880).

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

220011100121120 is a wasteful number, since it uses less digits than its factorization.

220011100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12794 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220011100121120 its reverse (21121001110022), we get a palindrome (241132101231142).

The spelling of 220011100121120 in words is "two hundred twenty trillion, eleven billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".