100001101200 has 960 divisors, whose sum is σ = 439138560000. Its totient is φ = 19169740800.

The previous prime is 100001101181. The next prime is 100001101267. The reversal of 100001101200 is 2101100001.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58857951 + ... + 58859649.

It is an arithmetic number, because the mean of its divisors is an integer number (457436000).

Almost surely, 2^100001101200 is an apocalyptic number.

100001101200 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 100001101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219569280000).

100001101200 is an abundant number, since it is smaller than the sum of its proper divisors (339137458800).

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

100001101200 is a wasteful number, since it uses less digits than its factorization.

100001101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1740 counting only the distinct ones).

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

Adding to 100001101200 its reverse (2101100001), we get a palindrome (102102201201).

The spelling of 100001101200 in words is "one hundred billion, one million, one hundred one thousand, two hundred".