22101100320000 has 1440 divisors, whose sum is σ = 83094296513536. Its totient is φ = 5175705600000.

The previous prime is 22101100319989. The next prime is 22101100320017. The reversal of 22101100320000 is 2300110122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11799839064 + ... + 11799840936.

Almost surely, 2^{22101100320000} is an apocalyptic number.

22101100320000 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 22101100320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41547148256768).

22101100320000 is an abundant number, since it is smaller than the sum of its proper divisors (60993196193536).

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

22101100320000 is a wasteful number, since it uses less digits than its factorization.

22101100320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22101100320000 its reverse (2300110122), we get a palindrome (22103400430122).

The spelling of 22101100320000 in words is "twenty-two trillion, one hundred one billion, one hundred million, three hundred twenty thousand".