10022012022000 has 320 divisors, whose sum is σ = 35265363015168. Its totient is φ = 2428404480000.

The previous prime is 10022012021981. The next prime is 10022012022041. The reversal of 10022012022000 is 22021022001.

It is a super-2 number, since 2×10022012022000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 140610372 + ... + 140681628.

Almost surely, 2^{10022012022000} is an apocalyptic number.

10022012022000 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 10022012022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632681507584).

10022012022000 is an abundant number, since it is smaller than the sum of its proper divisors (25243350993168).

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

10022012022000 is a wasteful number, since it uses less digits than its factorization.

10022012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73425 (or 73409 counting only the distinct ones).

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

Adding to 10022012022000 its reverse (22021022001), we get a palindrome (10044033044001).

Subtracting from 10022012022000 its reverse (22021022001), we obtain a palindrome (9999990999999).

The spelling of 10022012022000 in words is "ten trillion, twenty-two billion, twelve million, twenty-two thousand".