1010128204800 has 3168 divisors, whose sum is σ = 4683236253696. Its totient is φ = 204374016000.

The previous prime is 1010128204781. The next prime is 1010128204819. The reversal of 1010128204800 is 84028210101.

1010128204800 is a `hidden beast` number, since 1 + 0 + 101 + 2 + 82 + 0 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1010128204781) and next prime (1010128204819).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23491353579 + ... + 23491353621.

It is an arithmetic number, because the mean of its divisors is an integer number (1478294272).

Almost surely, 2^{1010128204800} is an apocalyptic number.

1010128204800 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 1010128204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341618126848).

1010128204800 is an abundant number, since it is smaller than the sum of its proper divisors (3673108048896).

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

1010128204800 is a wasteful number, since it uses less digits than its factorization.

1010128204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 1010128204800 in words is "one trillion, ten billion, one hundred twenty-eight million, two hundred four thousand, eight hundred".