100211202200 has 192 divisors, whose sum is σ = 264589092000. Its totient is φ = 35065405440.

The previous prime is 100211202131. The next prime is 100211202263. The reversal of 100211202200 is 2202112001.

It is a happy number.

100211202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3409166 + ... + 3438434.

Almost surely, 2^100211202200 is an apocalyptic number.

100211202200 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 100211202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132294546000).

100211202200 is an abundant number, since it is smaller than the sum of its proper divisors (164377889800).

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

100211202200 is a wasteful number, since it uses less digits than its factorization.

100211202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29374 (or 29365 counting only the distinct ones).

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

Adding to 100211202200 its reverse (2202112001), we get a palindrome (102413314201).

The spelling of 100211202200 in words is "one hundred billion, two hundred eleven million, two hundred two thousand, two hundred".