220100100021120 has 128 divisors (see below), whose sum is σ = 765348075146880. Its totient is φ = 53357600000000.

The previous prime is 220100100021089. The next prime is 220100100021127. The reversal of 220100100021120 is 21120001001022.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 220100100021096 and 220100100021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100100021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5210682006 + ... + 5210724245.

It is an arithmetic number, because the mean of its divisors is an integer number (5979281837085).

Almost surely, 2^{220100100021120} is an apocalyptic number.

220100100021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100100021120 is an abundant number, since it is smaller than the sum of its proper divisors (545247975125760).

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

220100100021120 is a wasteful number, since it uses less digits than its factorization.

220100100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421406284 (or 10421406272 counting only the distinct ones).

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

Adding to 220100100021120 its reverse (21120001001022), we get a palindrome (241220101022142).

The spelling of 220100100021120 in words is "two hundred twenty trillion, one hundred billion, one hundred million, twenty-one thousand, one hundred twenty".