22102020000000 has 432 divisors, whose sum is σ = 79657410334320. Its totient is φ = 5893824000000.

The previous prime is 22102019999987. The next prime is 22102020000037. The reversal of 22102020000000 is 2020122.

It can be written as a sum of positive squares in 8 ways, for example, as 21592155453696 + 509864546304 = 4646736^2 + 714048^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179938606 + ... + 180061394.

Almost surely, 2^{22102020000000} is an apocalyptic number.

22102020000000 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 22102020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39828705167160).

22102020000000 is an abundant number, since it is smaller than the sum of its proper divisors (57555390334320).

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

22102020000000 is an frugal number, since it uses more digits than its factorization.

22102020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122846 (or 122799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22102020000000 its reverse (2020122), we get a palindrome (22102022020122).

The spelling of 22102020000000 in words is "twenty-two trillion, one hundred two billion, twenty million", and thus it is an aban number.