1021096581120 has 1728 divisors, whose sum is σ = 4524113018880. Its totient is φ = 208461496320.

The previous prime is 1021096581103. The next prime is 1021096581133. The reversal of 1021096581120 is 211856901201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8040130497 + ... + 8040130623.

It is an arithmetic number, because the mean of its divisors is an integer number (2618120960).

Almost surely, 2^{1021096581120} is an apocalyptic number.

1021096581120 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 1021096581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262056509440).

1021096581120 is an abundant number, since it is smaller than the sum of its proper divisors (3503016437760).

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

1021096581120 is a wasteful number, since it uses less digits than its factorization.

1021096581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1021096581120 in words is "one trillion, twenty-one billion, ninety-six million, five hundred eighty-one thousand, one hundred twenty".