10001022020992 has 64 divisors (see below), whose sum is σ = 20255725581840. Its totient is φ = 4917274122240.

The previous prime is 10001022020959. The next prime is 10001022021031. The reversal of 10001022020992 is 29902022010001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10001022020992.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30655918 + ... + 30980434.

Almost surely, 2^{10001022020992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001022020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127862790920).

10001022020992 is an abundant number, since it is smaller than the sum of its proper divisors (10254703560848).

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

10001022020992 is an equidigital number, since it uses as much as digits as its factorization.

10001022020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328539 (or 328527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 10001022020992 its reverse (29902022010001), we get a palindrome (39903044030993).

The spelling of 10001022020992 in words is "ten trillion, one billion, twenty-two million, twenty thousand, nine hundred ninety-two".