1001100100 has 288 divisors, whose sum is σ = 2978309376. Its totient is φ = 282009600.

The previous prime is 1001100091. The next prime is 1001100127. The reversal of 1001100100 is 10011001.

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 1001100100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7307232 + ... + 7307368.

It is an arithmetic number, because the mean of its divisors is an integer number (10341352).

Almost surely, 2^1001100100 is an apocalyptic number.

1001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489154688).

1001100100 is an abundant number, since it is smaller than the sum of its proper divisors (1977209276).

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

1001100100 is a wasteful number, since it uses less digits than its factorization.

1001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

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

The square root of 1001100100 is about 31640.1659287685. The cubic root of 1001100100 is about 1000.3665656132.

Adding to 1001100100 its reverse (10011001), we get a palindrome (1011111101).

1001100100 divided by its reverse (10011001) gives a square (100 = 10²).

It can be divided in two parts, 1001 and 100100, that multiplied together give a square (100200100 = 10010²).

The spelling of 1001100100 in words is "one billion, one million, one hundred thousand, one hundred".