100021202211200 has 384 divisors, whose sum is σ = 258714011556000. Its totient is φ = 38161087856640.

The previous prime is 100021202211197. The next prime is 100021202211223. The reversal of 100021202211200 is 2112202120001.

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, 3219309266 + ... + 3219340334.

Almost surely, 2^{100021202211200} is an apocalyptic number.

100021202211200 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 100021202211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129357005778000).

100021202211200 is an abundant number, since it is smaller than the sum of its proper divisors (158692809344800).

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

100021202211200 is a wasteful number, since it uses less digits than its factorization.

100021202211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31542 (or 31525 counting only the distinct ones).

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

Adding to 100021202211200 its reverse (2112202120001), we get a palindrome (102133404331201).

The spelling of 100021202211200 in words is "one hundred trillion, twenty-one billion, two hundred two million, two hundred eleven thousand, two hundred".