1001010010000 has 600 divisors, whose sum is σ = 3279003033152. Its totient is φ = 287971200000.

The previous prime is 1001010009997. The next prime is 1001010010001. The reversal of 1001010010000 is 100101001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1001010010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110105455 + ... + 110114545.

Almost surely, 2^{1001010010000} is an apocalyptic number.

1001010010000 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 1001010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639501516576).

1001010010000 is an abundant number, since it is smaller than the sum of its proper divisors (2277993023152).

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

1001010010000 is a wasteful number, since it uses less digits than its factorization.

1001010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1001010010000 its reverse (100101001), we get a palindrome (1001110111001).

1001010010000 divided by its reverse (100101001) gives a 4-th power (10000 = 10⁴).

The spelling of 1001010010000 in words is "one trillion, one billion, ten million, ten thousand".