10022202100000 has 432 divisors, whose sum is σ = 26326251262080. Its totient is φ = 3754688000000.

The previous prime is 10022202099997. The next prime is 10022202100061. The reversal of 10022202100000 is 120222001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10022202100000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6907099275 + ... + 6907100725.

It is an arithmetic number, because the mean of its divisors is an integer number (60940396440).

Almost surely, 2^{10022202100000} is an apocalyptic number.

10022202100000 is a gapful number since it is divisible by the number (10) 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 10022202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163125631040).

10022202100000 is an abundant number, since it is smaller than the sum of its proper divisors (16304049162080).

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

10022202100000 is an equidigital number, since it uses as much as digits as its factorization.

10022202100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022202100000 its reverse (120222001), we get a palindrome (10022322322001).

The spelling of 10022202100000 in words is "ten trillion, twenty-two billion, two hundred two million, one hundred thousand".