100200101222001 has 16 divisors (see below), whose sum is σ = 152082367073280. Its totient is φ = 58087015200720.

The previous prime is 100200101221949. The next prime is 100200101222041. The reversal of 100200101222001 is 100222101002001.

It is not a de Polignac number, because 100200101222001 - 2¹⁹ = 100200100697713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100200101222041) 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 15 ways as a sum of consecutive naturals, for example, 66007971061 + ... + 66007972578.

It is an arithmetic number, because the mean of its divisors is an integer number (9505147942080).

Almost surely, 2^{100200101222001} is an apocalyptic number.

100200101222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200101222001 is a deficient number, since it is larger than the sum of its proper divisors (51882265851279).

100200101222001 is a wasteful number, since it uses less digits than its factorization.

100200101222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132015943676.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200101222001 its reverse (100222101002001), we get a palindrome (200422202224002).

The spelling of 100200101222001 in words is "one hundred trillion, two hundred billion, one hundred one million, two hundred twenty-two thousand, one".