112100212121801 has 2 divisors, whose sum is σ = 112100212121802. Its totient is φ = 112100212121800.

The previous prime is 112100212121797. The next prime is 112100212121827. The reversal of 112100212121801 is 108121212001211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101603577619600 + 10496634502201 = 10079860^2 + 3239851^2 .

It is an emirp because it is prime and its reverse (108121212001211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112100212121801 - 2² = 112100212121797 is a prime.

It is a super-3 number, since 3×112100212121801³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (112100212121831) 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, 56050106060900 + 56050106060901.

It is an arithmetic number, because the mean of its divisors is an integer number (56050106060901).

Almost surely, 2^{112100212121801} is an apocalyptic number.

It is an amenable number.

112100212121801 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100212121801 is an equidigital number, since it uses as much as digits as its factorization.

112100212121801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

The spelling of 112100212121801 in words is "one hundred twelve trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, eight hundred one".