1010020984000 has 224 divisors, whose sum is σ = 2860845826176. Its totient is φ = 346026700800.

The previous prime is 1010020983991. The next prime is 1010020984001. The reversal of 1010020984000 is 4890200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1010020984001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81361794 + ... + 81374206.

Almost surely, 2^{1010020984000} is an apocalyptic number.

1010020984000 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 1010020984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430422913088).

1010020984000 is an abundant number, since it is smaller than the sum of its proper divisors (1850824842176).

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

1010020984000 is a wasteful number, since it uses less digits than its factorization.

1010020984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900 (or 13880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 1010020984000 in words is "one trillion, ten billion, twenty million, nine hundred eighty-four thousand".