100020100211200 has 480 divisors, whose sum is σ = 276498616862160. Its totient is φ = 35601953587200.

The previous prime is 100020100211189. The next prime is 100020100211221. The reversal of 100020100211200 is 2112001020001.

It can be written as a sum of positive squares in 24 ways, for example, as 143901870336 + 99876198340864 = 379344^2 + 9993808^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3189705922 + ... + 3189737278.

Almost surely, 2^{100020100211200} is an apocalyptic number.

100020100211200 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 100020100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138249308431080).

100020100211200 is an abundant number, since it is smaller than the sum of its proper divisors (176478516650960).

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

100020100211200 is a wasteful number, since it uses less digits than its factorization.

100020100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32088 (or 32067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020100211200 its reverse (2112001020001), we get a palindrome (102132101231201).

The spelling of 100020100211200 in words is "one hundred trillion, twenty billion, one hundred million, two hundred eleven thousand, two hundred".