100212202221200 has 240 divisors, whose sum is σ = 242904800432592. Its totient is φ = 39729561600000.

The previous prime is 100212202221169. The next prime is 100212202221221. The reversal of 100212202221200 is 2122202212001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 29946767748496 + 70265434472704 = 5472364^2 + 8382448^2 .

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, 36560451830 + ... + 36560454570.

Almost surely, 2^{100212202221200} is an apocalyptic number.

100212202221200 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 100212202221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121452400216296).

100212202221200 is an abundant number, since it is smaller than the sum of its proper divisors (142692598211392).

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

100212202221200 is a wasteful number, since it uses less digits than its factorization.

100212202221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4523 counting only the distinct ones).

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

Adding to 100212202221200 its reverse (2122202212001), we get a palindrome (102334404433201).

The spelling of 100212202221200 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, two hundred twenty-one thousand, two hundred".