1010001010000 has 150 divisors (see below), whose sum is σ = 2470013628566. Its totient is φ = 399960000000.

The previous prime is 1010001009991. The next prime is 1010001010001. The reversal of 1010001010000 is 101000101.

It can be written as a sum of positive squares in 15 ways, for example, as 306858386704 + 703142623296 = 553948^2 + 838536^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001010001) 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 29 ways as a sum of consecutive naturals, for example, 102005050 + ... + 102014950.

Almost surely, 2^{1010001010000} is an apocalyptic number.

1010001010000 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 1010001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235006814283).

1010001010000 is an abundant number, since it is smaller than the sum of its proper divisors (1460012618566).

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

1010001010000 is an frugal number, since it uses more digits than its factorization.

1010001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10009 counting only the distinct ones).

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

Adding to 1010001010000 its reverse (101000101), we get a palindrome (1010102010101).

1010001010000 divided by its reverse (101000101) gives a 4-th power (10000 = 10⁴).

The spelling of 1010001010000 in words is "one trillion, ten billion, one million, ten thousand".