21220101110120 has 128 divisors (see below), whose sum is σ = 52977946320000. Its totient is φ = 7584262778880.

The previous prime is 21220101110101. The next prime is 21220101110203. The reversal of 21220101110120 is 2101110102212.

It is a super-2 number, since 2×21220101110120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21220101110095 and 21220101110104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151770164 + ... + 151909916.

It is an arithmetic number, because the mean of its divisors is an integer number (413890205625).

Almost surely, 2^{21220101110120} is an apocalyptic number.

21220101110120 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 21220101110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26488973160000).

21220101110120 is an abundant number, since it is smaller than the sum of its proper divisors (31757845209880).

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

21220101110120 is a wasteful number, since it uses less digits than its factorization.

21220101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145683 (or 145679 counting only the distinct ones).

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

Adding to 21220101110120 its reverse (2101110102212), we get a palindrome (23321211212332).

The spelling of 21220101110120 in words is "twenty-one trillion, two hundred twenty billion, one hundred one million, one hundred ten thousand, one hundred twenty".