8100121100201 has 16 divisors (see below), whose sum is σ = 9077362029120. Its totient is φ = 7179368091840.

The previous prime is 8100121100191. The next prime is 8100121100231. The reversal of 8100121100201 is 1020011210018.

It is a cyclic number.

It is not a de Polignac number, because 8100121100201 - 2²² = 8100116905897 is a prime.

It is a super-2 number, since 2×8100121100201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8100121100201.

It is not an unprimeable number, because it can be changed into a prime (8100121100231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122766830 + ... + 122832791.

It is an arithmetic number, because the mean of its divisors is an integer number (567335126820).

Almost surely, 2^{8100121100201} is an apocalyptic number.

It is an amenable number.

8100121100201 is a deficient number, since it is larger than the sum of its proper divisors (977240928919).

8100121100201 is a wasteful number, since it uses less digits than its factorization.

8100121100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245599736.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 8100121100201 its reverse (1020011210018), we get a palindrome (9120132310219).

The spelling of 8100121100201 in words is "eight trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, two hundred one".