10022121022000 has 160 divisors (see below), whose sum is σ = 24678335485440. Its totient is φ = 3935447366400.

The previous prime is 10022121021989. The next prime is 10022121022007. The reversal of 10022121022000 is 22012122001.

It is a happy number.

It is a super-2 number, since 2×10022121022000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022121022007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85727587 + ... + 85844413.

It is an arithmetic number, because the mean of its divisors is an integer number (154239596784).

Almost surely, 2^{10022121022000} is an apocalyptic number.

10022121022000 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 10022121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339167742720).

10022121022000 is an abundant number, since it is smaller than the sum of its proper divisors (14656214463440).

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

10022121022000 is a wasteful number, since it uses less digits than its factorization.

10022121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117636 (or 117620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022121022000 its reverse (22012122001), we get a palindrome (10044133144001).

The spelling of 10022121022000 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, twenty-two thousand".