22102122332020 has 96 divisors (see below), whose sum is σ = 50864867736480. Its totient is φ = 8029844766720.

The previous prime is 22102122331997. The next prime is 22102122332137. The reversal of 22102122332020 is 2023322120122.

It can be written as a sum of positive squares in 16 ways, for example, as 10939119664356 + 11163002667664 = 3307434^2 + 3341108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22102122331982 and 22102122332000.

It is a congruent number.

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, 19129180 + ... + 20251660.

It is an arithmetic number, because the mean of its divisors is an integer number (529842372255).

Almost surely, 2^{22102122332020} is an apocalyptic number.

22102122332020 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 22102122332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25432433868240).

22102122332020 is an abundant number, since it is smaller than the sum of its proper divisors (28762745404460).

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

22102122332020 is a wasteful number, since it uses less digits than its factorization.

22102122332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124533 (or 1124531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22102122332020 its reverse (2023322120122), we get a palindrome (24125444452142).

The spelling of 22102122332020 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, three hundred thirty-two thousand, twenty".