22102122010020 has 288 divisors, whose sum is σ = 67768089314688. Its totient is φ = 5350440572928.

The previous prime is 22102122010019. The next prime is 22102122010027. The reversal of 22102122010020 is 2001022120122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22102122010027) 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 95 ways as a sum of consecutive naturals, for example, 2251408152 + ... + 2251417968.

It is an arithmetic number, because the mean of its divisors is an integer number (235305865676).

Almost surely, 2^{22102122010020} is an apocalyptic number.

22102122010020 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 22102122010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33884044657344).

22102122010020 is an abundant number, since it is smaller than the sum of its proper divisors (45665967304668).

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

22102122010020 is a wasteful number, since it uses less digits than its factorization.

22102122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102122010020 its reverse (2001022120122), we get a palindrome (24103144130142).

The spelling of 22102122010020 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, ten thousand, twenty".