100001011200 has 240 divisors, whose sum is σ = 330798049296. Its totient is φ = 26630553600.

The previous prime is 100001011181. The next prime is 100001011207. The reversal of 100001011200 is 2110100001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011207) 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, 39665940 + ... + 39668460.

Almost surely, 2^100001011200 is an apocalyptic number.

100001011200 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 100001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165399024648).

100001011200 is an abundant number, since it is smaller than the sum of its proper divisors (230797038096).

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

100001011200 is a wasteful number, since it uses less digits than its factorization.

100001011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100001011200 its reverse (2110100001), we get a palindrome (102111111201).

The spelling of 100001011200 in words is "one hundred billion, one million, eleven thousand, two hundred".