100201122000121 has 8 divisors (see below), whose sum is σ = 103053996245088. Its totient is φ = 97367721300000.

The previous prime is 100201122000107. The next prime is 100201122000157. The reversal of 100201122000121 is 121000221102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201122000121 - 2⁹ = 100201121999609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201122000191) 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 7 ways as a sum of consecutive naturals, for example, 4868375775 + ... + 4868396356.

It is an arithmetic number, because the mean of its divisors is an integer number (12881749530636).

Almost surely, 2^{100201122000121} is an apocalyptic number.

It is an amenable number.

100201122000121 is a deficient number, since it is larger than the sum of its proper divisors (2852874244967).

100201122000121 is an equidigital number, since it uses as much as digits as its factorization.

100201122000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9736772423.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201122000121 its reverse (121000221102001), we get a palindrome (221201343102122).

The spelling of 100201122000121 in words is "one hundred trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.