100222100010200 has 384 divisors, whose sum is σ = 277906070016000. Its totient is φ = 33584086448640.

The previous prime is 100222100010173. The next prime is 100222100010229. The reversal of 100222100010200 is 2010001222001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2363317397 + ... + 2363359803.

It is an arithmetic number, because the mean of its divisors is an integer number (723713724000).

Almost surely, 2^{100222100010200} is an apocalyptic number.

100222100010200 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 100222100010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138953035008000).

100222100010200 is an abundant number, since it is smaller than the sum of its proper divisors (177683970005800).

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

100222100010200 is a wasteful number, since it uses less digits than its factorization.

100222100010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43224 (or 43201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100222100010200 its reverse (2010001222001), we get a palindrome (102232101232201).

The spelling of 100222100010200 in words is "one hundred trillion, two hundred twenty-two billion, one hundred million, ten thousand, two hundred".