102112000001201 has 2 divisors, whose sum is σ = 102112000001202. Its totient is φ = 102112000001200.

The previous prime is 102112000001191. The next prime is 102112000001243. The reversal of 102112000001201 is 102100000211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72614598816400 + 29497401184801 = 8521420^2 + 5431151^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112000001201 - 2²⁶ = 102111932892337 is a prime.

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 (102112000001261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056000000600 + 51056000000601.

It is an arithmetic number, because the mean of its divisors is an integer number (51056000000601).

Almost surely, 2^{102112000001201} is an apocalyptic number.

It is an amenable number.

102112000001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112000001201 is an equidigital number, since it uses as much as digits as its factorization.

102112000001201 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 11.

Adding to 102112000001201 its reverse (102100000211201), we get a palindrome (204212000212402).

The spelling of 102112000001201 in words is "one hundred two trillion, one hundred twelve billion, one thousand, two hundred one".