22201022210000 has 100 divisors (see below), whose sum is σ = 55604374732500. Its totient is φ = 8574187776000.

The previous prime is 22201022209979. The next prime is 22201022210009. The reversal of 22201022210000 is 1222010222.

It can be written as a sum of positive squares in 10 ways, for example, as 19913656350784 + 2287365859216 = 4462472^2 + 1512404^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201022210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37987625 + ... + 38567624.

It is an arithmetic number, because the mean of its divisors is an integer number (556043747325).

Almost surely, 2^{22201022210000} is an apocalyptic number.

22201022210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201022210000 is an abundant number, since it is smaller than the sum of its proper divisors (33403352522500).

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

22201022210000 is an equidigital number, since it uses as much as digits as its factorization.

22201022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76555306 (or 76555285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22201022210000 its reverse (1222010222), we get a palindrome (22202244220222).

It can be divided in two parts, 222010222 and 10000, that added together give a palindrome (222020222).

The spelling of 22201022210000 in words is "twenty-two trillion, two hundred one billion, twenty-two million, two hundred ten thousand".