20222222101000 has 128 divisors (see below), whose sum is σ = 49825962576000. Its totient is φ = 7660783008000.

The previous prime is 20222222100991. The next prime is 20222222101043. The reversal of 20222222101000 is 10122222202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61757710 + ... + 62084290.

It is an arithmetic number, because the mean of its divisors is an integer number (389265332625).

Almost surely, 2^{20222222101000} is an apocalyptic number.

20222222101000 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 20222222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24912981288000).

20222222101000 is an abundant number, since it is smaller than the sum of its proper divisors (29603740475000).

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

20222222101000 is a wasteful number, since it uses less digits than its factorization.

20222222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329880 (or 329866 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20222222101000 its reverse (10122222202), we get a palindrome (20232344323202).

It can be divided in two parts, 20222 and 222101000, that added together give a palindrome (222121222).

The spelling of 20222222101000 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand".