10010022022000 has 320 divisors, whose sum is σ = 32497997995008. Its totient is φ = 2880005760000.

The previous prime is 10010022021913. The next prime is 10010022022027. The reversal of 10010022022000 is 22022001001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498006 + ... + 4502005.

Almost surely, 2^{10010022022000} is an apocalyptic number.

10010022022000 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 10010022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248998997504).

10010022022000 is an abundant number, since it is smaller than the sum of its proper divisors (22487975973008).

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

10010022022000 is a wasteful number, since it uses less digits than its factorization.

10010022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000065 (or 5000049 counting only the distinct ones).

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

Adding to 10010022022000 its reverse (22022001001), we get a palindrome (10032044023001).

The spelling of 10010022022000 in words is "ten trillion, ten billion, twenty-two million, twenty-two thousand".