100212120200 has 96 divisors (see below), whose sum is σ = 246790621800. Its totient is φ = 37712855040.

The previous prime is 100212120199. The next prime is 100212120221. The reversal of 100212120200 is 2021212001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10004400484 + 90207719716 = 100022^2 + 300346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15830636 + ... + 15836964.

Almost surely, 2^100212120200 is an apocalyptic number.

100212120200 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 100212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123395310900).

100212120200 is an abundant number, since it is smaller than the sum of its proper divisors (146578501600).

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

100212120200 is a wasteful number, since it uses less digits than its factorization.

100212120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11019 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100212120200 its reverse (2021212001), we get a palindrome (102233332201).

The spelling of 100212120200 in words is "one hundred billion, two hundred twelve million, one hundred twenty thousand, two hundred".