1001010000100 has 72 divisors (see below), whose sum is σ = 2393125955136. Its totient is φ = 360399600000.

The previous prime is 1001010000083. The next prime is 1001010000127. The reversal of 1001010000100 is 10000101001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001010000100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4393896 + ... + 4616095.

It is an arithmetic number, because the mean of its divisors is an integer number (33237860488).

Almost surely, 2^{1001010000100} is an apocalyptic number.

1001010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010000100 is an abundant number, since it is smaller than the sum of its proper divisors (1392115955036).

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

1001010000100 is a wasteful number, since it uses less digits than its factorization.

1001010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010117 (or 9010110 counting only the distinct ones).

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

Adding to 1001010000100 its reverse (10000101001), we get a palindrome (1011010101101).

The spelling of 1001010000100 in words is "one trillion, one billion, ten million, one hundred", and thus it is an aban number.