22011002010000 has 600 divisors, whose sum is σ = 81233607174720. Its totient is φ = 5546496384000.

The previous prime is 22011002009959. The next prime is 22011002010043. The reversal of 22011002010000 is 1020011022.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 678853789 + ... + 678886211.

Almost surely, 2^{22011002010000} is an apocalyptic number.

22011002010000 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 22011002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40616803587360).

22011002010000 is an abundant number, since it is smaller than the sum of its proper divisors (59222605164720).

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

22011002010000 is a wasteful number, since it uses less digits than its factorization.

22011002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32873 (or 32849 counting only the distinct ones).

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

Adding to 22011002010000 its reverse (1020011022), we get a palindrome (22012022021022).

The spelling of 22011002010000 in words is "twenty-two trillion, eleven billion, two million, ten thousand".