100001002011200 has 42 divisors (see below), whose sum is σ = 246064965577746. Its totient is φ = 40000400803840.

The previous prime is 100001002011161. The next prime is 100001002011223. The reversal of 100001002011200 is 2110200100001.

It can be written as a sum of positive squares in 3 ways, for example, as 99537726016 + 99901464285184 = 315496^2 + 9995072^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31250311529 + ... + 31250314728.

It is an arithmetic number, because the mean of its divisors is an integer number (5858689656613).

Almost surely, 2^{100001002011200} is an apocalyptic number.

100001002011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001002011200 is an abundant number, since it is smaller than the sum of its proper divisors (146063963566546).

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

100001002011200 is an equidigital number, since it uses as much as digits as its factorization.

100001002011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62500626279 (or 62500626264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001002011200 its reverse (2110200100001), we get a palindrome (102111202111201).

The spelling of 100001002011200 in words is "one hundred trillion, one billion, two million, eleven thousand, two hundred".