100101111102200 has 192 divisors, whose sum is σ = 259957511654400. Its totient is φ = 35592728371200.

The previous prime is 100101111102199. The next prime is 100101111102211. The reversal of 100101111102200 is 2201111101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27145040 + ... + 30611360.

It is an arithmetic number, because the mean of its divisors is an integer number (1353945373200).

Almost surely, 2^{100101111102200} is an apocalyptic number.

100101111102200 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 100101111102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129978755827200).

100101111102200 is an abundant number, since it is smaller than the sum of its proper divisors (159856400552200).

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

100101111102200 is a wasteful number, since it uses less digits than its factorization.

100101111102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466762 (or 3466753 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101111102200 its reverse (2201111101001), we get a palindrome (102302222203201).

The spelling of 100101111102200 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred two thousand, two hundred".