22101010210000 has 100 divisors (see below), whose sum is σ = 53527296385332. Its totient is φ = 8837340928000.

The previous prime is 22101010209997. The next prime is 22101010210061. The reversal of 22101010210000 is 1201010122.

It can be written as a sum of positive squares in 10 ways, for example, as 21216673096336 + 884337113664 = 4606156^2 + 940392^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28588554 + ... + 29351446.

Almost surely, 2^{22101010210000} is an apocalyptic number.

22101010210000 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 22101010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26763648192666).

22101010210000 is an abundant number, since it is smaller than the sum of its proper divisors (31426286175332).

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

22101010210000 is an equidigital number, since it uses as much as digits as its factorization.

22101010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765818 (or 765797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22101010210000 its reverse (1201010122), we get a palindrome (22102211220122).

The spelling of 22101010210000 in words is "twenty-two trillion, one hundred one billion, ten million, two hundred ten thousand".