1021083148800 has 2400 divisors, whose sum is σ = 4548734112384. Its totient is φ = 222953472000.

The previous prime is 1021083148781. The next prime is 1021083148901. The reversal of 1021083148800 is 88413801201.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×1021083148800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10526630352 + ... + 10526630448.

Almost surely, 2^{1021083148800} is an apocalyptic number.

1021083148800 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 1021083148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274367056192).

1021083148800 is an abundant number, since it is smaller than the sum of its proper divisors (3527650963584).

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

1021083148800 is a wasteful number, since it uses less digits than its factorization.

1021083148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1021083148800 in words is "one trillion, twenty-one billion, eighty-three million, one hundred forty-eight thousand, eight hundred".