212101202101193 has 2 divisors, whose sum is σ = 212101202101194. Its totient is φ = 212101202101192.

The previous prime is 212101202101183. The next prime is 212101202101253. The reversal of 212101202101193 is 391101202101212.

212101202101193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193832442106384 + 18268759994809 = 13922372^2 + 4274197^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101202101193 - 2⁸ = 212101202100937 is a prime.

It is a super-2 number, since 2×212101202101193² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212101202101153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050601050596 + 106050601050597.

It is an arithmetic number, because the mean of its divisors is an integer number (106050601050597).

Almost surely, 2^{212101202101193} is an apocalyptic number.

It is an amenable number.

212101202101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101202101193 is an equidigital number, since it uses as much as digits as its factorization.

212101202101193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 212101202101193 in words is "two hundred twelve trillion, one hundred one billion, two hundred two million, one hundred one thousand, one hundred ninety-three".