10010001000100 has 72 divisors (see below), whose sum is σ = 23252491432800. Its totient is φ = 3728970892800.

The previous prime is 10010001000089. The next prime is 10010001000107. The reversal of 10010001000100 is 100010001001.

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

10010001000100 is a modest number, since divided by 1000100 gives 100100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10010001000100.

It is not an unprimeable number, because it can be changed into a prime (10010001000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44535541 + ... + 44759740.

It is an arithmetic number, because the mean of its divisors is an integer number (322951269900).

Almost surely, 2^{10010001000100} is an apocalyptic number.

10010001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001000100 is an abundant number, since it is smaller than the sum of its proper divisors (13242490432700).

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

10010001000100 is a wasteful number, since it uses less digits than its factorization.

10010001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89295373 (or 89295366 counting only the distinct ones).

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

Adding to 10010001000100 its reverse (100010001001), we get a palindrome (10110011001101).

Subtracting from 10010001000100 its reverse (100010001001), we obtain a palindrome (9909990999099).

The spelling of 10010001000100 in words is "ten trillion, ten billion, one million, one hundred", and thus it is an aban number.