100212144200 has 144 divisors (see below), whose sum is σ = 273105399600. Its totient is φ = 34095734400.

The previous prime is 100212144167. The next prime is 100212144211. The reversal of 100212144200 is 2441212001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1244771 + ... + 1322829.

It is an arithmetic number, because the mean of its divisors is an integer number (1896565275).

Almost surely, 2^100212144200 is an apocalyptic number.

100212144200 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 100212144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136552699800).

100212144200 is an abundant number, since it is smaller than the sum of its proper divisors (172893255400).

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

100212144200 is a wasteful number, since it uses less digits than its factorization.

100212144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78220 (or 78204 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100212144200 its reverse (2441212001), we get a palindrome (102653356201).

The spelling of 100212144200 in words is "one hundred billion, two hundred twelve million, one hundred forty-four thousand, two hundred".