100001001100 has 216 divisors, whose sum is σ = 292964249088. Its totient is φ = 28771142400.

The previous prime is 100001001091. The next prime is 100001001101. The reversal of 100001001100 is 1100100001.

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 100001001100.

It is not an unprimeable number, because it can be changed into a prime (100001001101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1262877 + ... + 1339723.

It is an arithmetic number, because the mean of its divisors is an integer number (1356315968).

Almost surely, 2^100001001100 is an apocalyptic number.

100001001100 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 100001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146482124544).

100001001100 is an abundant number, since it is smaller than the sum of its proper divisors (192963247988).

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

100001001100 is a wasteful number, since it uses less digits than its factorization.

100001001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76905 (or 76885 counting only the distinct ones).

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

Adding to 100001001100 its reverse (1100100001), we get a palindrome (101101101101).

The spelling of 100001001100 in words is "one hundred billion, one million, one thousand, one hundred".