22010101200000 has 1152 divisors, whose sum is σ = 81924463530000. Its totient is φ = 5667287040000.

The previous prime is 22010101199939. The next prime is 22010101200001. The reversal of 22010101200000 is 210101022.

It can be written as a sum of positive squares in 24 ways, for example, as 21738943550016 + 271157649984 = 4662504^2 + 520728^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (22010101200001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 19846799446 + ... + 19846800554.

Almost surely, 2^{22010101200000} is an apocalyptic number.

22010101200000 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 22010101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40962231765000).

22010101200000 is an abundant number, since it is smaller than the sum of its proper divisors (59914362330000).

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

22010101200000 is a wasteful number, since it uses less digits than its factorization.

22010101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1305 counting only the distinct ones).

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

Adding to 22010101200000 its reverse (210101022), we get a palindrome (22010311301022).

The spelling of 22010101200000 in words is "twenty-two trillion, ten billion, one hundred one million, two hundred thousand".