22121100000 has 360 divisors, whose sum is σ = 81346496616. Its totient is φ = 5896800000.

The previous prime is 22121099989. The next prime is 22121100013. The reversal of 22121100000 is 112122.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8098635 + ... + 8101365.

Almost surely, 2^22121100000 is an apocalyptic number.

22121100000 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 22121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40673248308).

22121100000 is an abundant number, since it is smaller than the sum of its proper divisors (59225396616).

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

22121100000 is an frugal number, since it uses more digits than its factorization.

22121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22121100000 its reverse (112122), we get a palindrome (22121212122).

The spelling of 22121100000 in words is "twenty-two billion, one hundred twenty-one million, one hundred thousand".