21120100102220 has 192 divisors, whose sum is σ = 51582316713984. Its totient is φ = 7114058772480.

The previous prime is 21120100102219. The next prime is 21120100102229. The reversal of 21120100102220 is 2220100102112.

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 = 21120100102195 and 21120100102204.

It is not an unprimeable number, because it can be changed into a prime (21120100102229) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8259717182 + ... + 8259719738.

It is an arithmetic number, because the mean of its divisors is an integer number (268657899552).

Almost surely, 2^{21120100102220} is an apocalyptic number.

21120100102220 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 21120100102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25791158356992).

21120100102220 is an abundant number, since it is smaller than the sum of its proper divisors (30462216611764).

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

21120100102220 is a wasteful number, since it uses less digits than its factorization.

21120100102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21120100102220 its reverse (2220100102112), we get a palindrome (23340200204332).

The spelling of 21120100102220 in words is "twenty-one trillion, one hundred twenty billion, one hundred million, one hundred two thousand, two hundred twenty".