100120220202200 has 288 divisors, whose sum is σ = 268190642200320. Its totient is φ = 34467936480000.

The previous prime is 100120220202199. The next prime is 100120220202251. The reversal of 100120220202200 is 2202022021001.

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 71 ways as a sum of consecutive naturals, for example, 1199994485 + ... + 1200077915.

It is an arithmetic number, because the mean of its divisors is an integer number (931217507640).

Almost surely, 2^{100120220202200} is an apocalyptic number.

100120220202200 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 100120220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134095321100160).

100120220202200 is an abundant number, since it is smaller than the sum of its proper divisors (168070421998120).

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

100120220202200 is a wasteful number, since it uses less digits than its factorization.

100120220202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85007 (or 84979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100120220202200 its reverse (2202022021001), we get a palindrome (102322242223201).

The spelling of 100120220202200 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty million, two hundred two thousand, two hundred".