10201202202000 has 320 divisors, whose sum is σ = 33315306755328. Its totient is φ = 2685196800000.

The previous prime is 10201202201989. The next prime is 10201202202001. The reversal of 10201202202000 is 20220210201.

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 (10201202202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200560572 + ... + 200611428.

Almost surely, 2^{10201202202000} is an apocalyptic number.

10201202202000 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 10201202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657653377664).

10201202202000 is an abundant number, since it is smaller than the sum of its proper divisors (23114104553328).

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

10201202202000 is a wasteful number, since it uses less digits than its factorization.

10201202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51315 (or 51299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10201202202000 its reverse (20220210201), we get a palindrome (10221422412201).

The spelling of 10201202202000 in words is "ten trillion, two hundred one billion, two hundred two million, two hundred two thousand".