10101001010000 has 100 divisors (see below), whose sum is σ = 25894094777892. Its totient is φ = 3802729728000.

The previous prime is 10101001009999. The next prime is 10101001010027. The reversal of 10101001010000 is 1010010101.

It can be written as a sum of positive squares in 10 ways, for example, as 8104748509456 + 1996252500544 = 2846884^2 + 1412888^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29538827 + ... + 29878826.

Almost surely, 2^{10101001010000} is an apocalyptic number.

10101001010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101001010000 is an abundant number, since it is smaller than the sum of its proper divisors (15793093767892).

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

10101001010000 is an equidigital number, since it uses as much as digits as its factorization.

10101001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59417698 (or 59417677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10101001010000 its reverse (1010010101), we get a palindrome (10102011020101).

The spelling of 10101001010000 in words is "ten trillion, one hundred one billion, one million, ten thousand".