100010200201100 has 180 divisors, whose sum is σ = 253426502191800. Its totient is φ = 34255477831680.

The previous prime is 100010200201073. The next prime is 100010200201111. The reversal of 100010200201100 is 1102002010001.

100010200201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 244457516 + ... + 244866284.

Almost surely, 2^{100010200201100} is an apocalyptic number.

100010200201100 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 100010200201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126713251095900).

100010200201100 is an abundant number, since it is smaller than the sum of its proper divisors (153416301990700).

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

100010200201100 is a wasteful number, since it uses less digits than its factorization.

100010200201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409830 (or 409802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100010200201100 its reverse (1102002010001), we get a palindrome (101112202211101).

The spelling of 100010200201100 in words is "one hundred trillion, ten billion, two hundred million, two hundred one thousand, one hundred".