10001000010100 has 72 divisors (see below), whose sum is σ = 23695042982688. Its totient is φ = 3633663004800.

The previous prime is 10001000010017. The next prime is 10001000010137. The reversal of 10001000010100 is 101000010001.

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 10001000010100.

It is a congruent number.

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, 2524047 + ... + 5135446.

It is an arithmetic number, because the mean of its divisors is an integer number (329097819204).

Almost surely, 2^{10001000010100} is an apocalyptic number.

10001000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001000010100 is an abundant number, since it is smaller than the sum of its proper divisors (13694042972588).

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

10001000010100 is a wasteful number, since it uses less digits than its factorization.

10001000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660705 (or 7660698 counting only the distinct ones).

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

Adding to 10001000010100 its reverse (101000010001), we get a palindrome (10102000020101).

Subtracting from 10001000010100 its reverse (101000010001), we obtain a palindrome (9900000000099).

The spelling of 10001000010100 in words is "ten trillion, one billion, ten thousand, one hundred".