100212201202100 has 144 divisors (see below), whose sum is σ = 242340110542320. Its totient is φ = 35714243174400.

The previous prime is 100212201202063. The next prime is 100212201202193. The reversal of 100212201202100 is 1202102212001.

It can be written as a sum of positive squares in 24 ways, for example, as 87837607997584 + 12374593204516 = 9372172^2 + 3517754^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 119505884 + ... + 120341516.

Almost surely, 2^{100212201202100} is an apocalyptic number.

100212201202100 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 100212201202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170055271160).

100212201202100 is an abundant number, since it is smaller than the sum of its proper divisors (142127909340220).

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

100212201202100 is a wasteful number, since it uses less digits than its factorization.

100212201202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838870 (or 838863 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212201202100 its reverse (1202102212001), we get a palindrome (101414303414101).

The spelling of 100212201202100 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, two hundred two thousand, one hundred".