10001122202000 has 160 divisors (see below), whose sum is σ = 25955989005024. Its totient is φ = 3713550336000.

The previous prime is 10001122201991. The next prime is 10001122202077. The reversal of 10001122202000 is 20222110001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4762223791504 + 5238898410496 = 2182252^2 + 2288864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467270 + ... + 4496730.

Almost surely, 2^{10001122202000} is an apocalyptic number.

10001122202000 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 10001122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977994502512).

10001122202000 is an abundant number, since it is smaller than the sum of its proper divisors (15954866803024).

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

10001122202000 is a wasteful number, since it uses less digits than its factorization.

10001122202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029574 (or 4029558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10001122202000 its reverse (20222110001), we get a palindrome (10021344312001).

The spelling of 10001122202000 in words is "ten trillion, one billion, one hundred twenty-two million, two hundred two thousand".