1020110992320 has 1344 divisors, whose sum is σ = 4278075264000. Its totient is φ = 204101517312.

The previous prime is 1020110992291. The next prime is 1020110992379. The reversal of 1020110992320 is 232990110201.

1020110992320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680526931 + ... + 680528429.

Almost surely, 2^{1020110992320} is an apocalyptic number.

1020110992320 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 1020110992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139037632000).

1020110992320 is an abundant number, since it is smaller than the sum of its proper divisors (3257964271680).

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

1020110992320 is a wasteful number, since it uses less digits than its factorization.

1020110992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 1020110992320 in words is "one trillion, twenty billion, one hundred ten million, nine hundred ninety-two thousand, three hundred twenty".