22101313120020 has 72 divisors (see below), whose sum is σ = 67122307554120. Its totient is φ = 5886504794880.

The previous prime is 22101313119959. The next prime is 22101313120037. The reversal of 22101313120020 is 2002131310122.

22101313120020 is a `hidden beast` number, since 2 + 210 + 1 + 313 + 120 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25767954576 + 22075545165444 = 160524^2 + 4698462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22101313119975 and 22101313120002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74629975 + ... + 74925534.

It is an arithmetic number, because the mean of its divisors is an integer number (932254271585).

Almost surely, 2^{22101313120020} is an apocalyptic number.

22101313120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101313120020 is an abundant number, since it is smaller than the sum of its proper divisors (45020994434100).

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

22101313120020 is a wasteful number, since it uses less digits than its factorization.

22101313120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149556345 (or 149556340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22101313120020 its reverse (2002131310122), we get a palindrome (24103444430142).

The spelling of 22101313120020 in words is "twenty-two trillion, one hundred one billion, three hundred thirteen million, one hundred twenty thousand, twenty".