100200022002201 has 64 divisors (see below), whose sum is σ = 146890058112000. Its totient is φ = 60252215869440.

The previous prime is 100200022002107. The next prime is 100200022002211. The reversal of 100200022002201 is 102200220002001.

It is not a de Polignac number, because 100200022002201 - 2¹⁷ = 100200021871129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100200022002211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5297934921 + ... + 5297953833.

It is an arithmetic number, because the mean of its divisors is an integer number (2295157158000).

Almost surely, 2^{100200022002201} is an apocalyptic number.

100200022002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200022002201 is a deficient number, since it is larger than the sum of its proper divisors (46690036109799).

100200022002201 is a wasteful number, since it uses less digits than its factorization.

100200022002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286.

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

Adding to 100200022002201 its reverse (102200220002001), we get a palindrome (202400242004202).

The spelling of 100200022002201 in words is "one hundred trillion, two hundred billion, twenty-two million, two thousand, two hundred one".