100200220200201 has 32 divisors (see below), whose sum is σ = 149301669758976. Its totient is φ = 59245805520000.

The previous prime is 100200220200193. The next prime is 100200220200203. The reversal of 100200220200201 is 102002022002001.

It is not a de Polignac number, because 100200220200201 - 2³ = 100200220200193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100200220200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300403620 + ... + 300736986.

It is an arithmetic number, because the mean of its divisors is an integer number (4665677179968).

Almost surely, 2^{100200220200201} is an apocalyptic number.

100200220200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200220200201 is a deficient number, since it is larger than the sum of its proper divisors (49101449558775).

100200220200201 is a wasteful number, since it uses less digits than its factorization.

100200220200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555573.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100200220200201 its reverse (102002022002001), we get a palindrome (202202242202202).

The spelling of 100200220200201 in words is "one hundred trillion, two hundred billion, two hundred twenty million, two hundred thousand, two hundred one".