112100121010201 has 2 divisors, whose sum is σ = 112100121010202. Its totient is φ = 112100121010200.

The previous prime is 112100121010187. The next prime is 112100121010243. The reversal of 112100121010201 is 102010121001211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104744498994576 + 7355622015625 = 10234476^2 + 2712125^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100121010201 - 2⁵ = 112100121010169 is a prime.

It is a super-3 number, since 3×112100121010201³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (112100121010301) 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 as a sum of consecutive naturals, namely, 56050060505100 + 56050060505101.

It is an arithmetic number, because the mean of its divisors is an integer number (56050060505101).

Almost surely, 2^{112100121010201} is an apocalyptic number.

It is an amenable number.

112100121010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100121010201 is an equidigital number, since it uses as much as digits as its factorization.

112100121010201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112100121010201 its reverse (102010121001211), we get a palindrome (214110242011412).

The spelling of 112100121010201 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-one million, ten thousand, two hundred one".