22010221101000 has 1024 divisors, whose sum is σ = 79310657986560. Its totient is φ = 5033871360000.

The previous prime is 22010221100993. The next prime is 22010221101007. The reversal of 22010221101000 is 10112201022.

It is an interprime number because it is at equal distance from previous prime (22010221100993) and next prime (22010221101007).

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

It is not an unprimeable number, because it can be changed into a prime (22010221101007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5992435164 + ... + 5992438836.

It is an arithmetic number, because the mean of its divisors is an integer number (77451814440).

Almost surely, 2^{22010221101000} is an apocalyptic number.

22010221101000 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 22010221101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39655328993280).

22010221101000 is an abundant number, since it is smaller than the sum of its proper divisors (57300436885560).

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

22010221101000 is a wasteful number, since it uses less digits than its factorization.

22010221101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22010221101000 its reverse (10112201022), we get a palindrome (22020333302022).

The spelling of 22010221101000 in words is "twenty-two trillion, ten billion, two hundred twenty-one million, one hundred one thousand".