10022012020992 has 288 divisors, whose sum is σ = 27507706571520. Its totient is φ = 3238222233600.

The previous prime is 10022012020963. The next prime is 10022012021003. The reversal of 10022012020992 is 29902021022001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775751109 + ... + 775764027.

It is an arithmetic number, because the mean of its divisors is an integer number (95512870040).

Almost surely, 2^{10022012020992} is an apocalyptic number.

10022012020992 is a gapful number since it is divisible by the number (12) 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 10022012020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753853285760).

10022012020992 is an abundant number, since it is smaller than the sum of its proper divisors (17485694550528).

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

10022012020992 is a wasteful number, since it uses less digits than its factorization.

10022012020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 10022012020992 its reverse (29902021022001), we get a palindrome (39924033042993).

The spelling of 10022012020992 in words is "ten trillion, twenty-two billion, twelve million, twenty thousand, nine hundred ninety-two".