22102111021120 has 224 divisors, whose sum is σ = 57607142392800. Its totient is φ = 8028098985984.

The previous prime is 22102111021097. The next prime is 22102111021183. The reversal of 22102111021120 is 2112011120122.

It can be written as a sum of positive squares in 16 ways, for example, as 510401651776 + 21591709369344 = 714424^2 + 4646688^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22102111021094 and 22102111021103.

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 31 ways as a sum of consecutive naturals, for example, 72785766 + ... + 73088794.

It is an arithmetic number, because the mean of its divisors is an integer number (257174742825).

Almost surely, 2^{22102111021120} is an apocalyptic number.

22102111021120 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 22102111021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803571196400).

22102111021120 is an abundant number, since it is smaller than the sum of its proper divisors (35505031371680).

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

22102111021120 is a wasteful number, since it uses less digits than its factorization.

22102111021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303345 (or 303335 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22102111021120 its reverse (2112011120122), we get a palindrome (24214122141242).

The spelling of 22102111021120 in words is "twenty-two trillion, one hundred two billion, one hundred eleven million, twenty-one thousand, one hundred twenty".