100112002100201 has 16 divisors (see below), whose sum is σ = 128571935810304. Its totient is φ = 75765605027904.

The previous prime is 100112002100191. The next prime is 100112002100207. The reversal of 100112002100201 is 102001200211001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112002100201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112002100207) 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, 23915908586 + ... + 23915912771.

It is an arithmetic number, because the mean of its divisors is an integer number (8035745988144).

Almost surely, 2^{100112002100201} is an apocalyptic number.

It is an amenable number.

100112002100201 is a deficient number, since it is larger than the sum of its proper divisors (28459933710103).

100112002100201 is a wasteful number, since it uses less digits than its factorization.

100112002100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47831821400.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112002100201 its reverse (102001200211001), we get a palindrome (202113202311202).

The spelling of 100112002100201 in words is "one hundred trillion, one hundred twelve billion, two million, one hundred thousand, two hundred one".