10100001100 has 72 divisors (see below), whose sum is σ = 25911779040. Its totient is φ = 3343441920.

The previous prime is 10100001059. The next prime is 10100001103. The reversal of 10100001100 is 110000101.

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 10100001100.

It is not an unprimeable number, because it can be changed into a prime (10100001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228469 + ... + 269068.

It is an arithmetic number, because the mean of its divisors is an integer number (359885820).

Almost surely, 2^10100001100 is an apocalyptic number.

10100001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100001100 is an abundant number, since it is smaller than the sum of its proper divisors (15811777940).

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

10100001100 is a wasteful number, since it uses less digits than its factorization.

10100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497587 (or 497580 counting only the distinct ones).

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

Adding to 10100001100 its reverse (110000101), we get a palindrome (10210001201).

Subtracting from 10100001100 its reverse (110000101), we obtain a palindrome (9990000999).

It can be divided in two parts, 10100001 and 100, that added together give a palindrome (10100101).

The spelling of 10100001100 in words is "ten billion, one hundred million, one thousand, one hundred".