10222202202000 has 320 divisors, whose sum is σ = 34588128646656. Its totient is φ = 2592324556800.

The previous prime is 10222202201983. The next prime is 10222202202049. The reversal of 10222202202000 is 20220222201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23659914 + ... + 24088086.

Almost surely, 2^{10222202202000} is an apocalyptic number.

10222202202000 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 10222202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294064323328).

10222202202000 is an abundant number, since it is smaller than the sum of its proper divisors (24365926444656).

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

10222202202000 is a wasteful number, since it uses less digits than its factorization.

10222202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428395 (or 428379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10222202202000 its reverse (20220222201), we get a palindrome (10242422424201).

The spelling of 10222202202000 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, two hundred two thousand".