22101012000 has 240 divisors, whose sum is σ = 81119270232. Its totient is φ = 5893516800.

The previous prime is 22101011987. The next prime is 22101012047. The reversal of 22101012000 is 21010122.

It can be written as a sum of positive squares in 4 ways, for example, as 5014339344 + 17086672656 = 70812^2 + 130716^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 289894 + ... + 358106.

Almost surely, 2^22101012000 is an apocalyptic number.

22101012000 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 22101012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40559635116).

22101012000 is an abundant number, since it is smaller than the sum of its proper divisors (59018258232).

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

22101012000 is an equidigital number, since it uses as much as digits as its factorization.

22101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68250 (or 68223 counting only the distinct ones).

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

Adding to 22101012000 its reverse (21010122), we get a palindrome (22122022122).

The spelling of 22101012000 in words is "twenty-two billion, one hundred one million, twelve thousand".