102112210001209 has 2 divisors, whose sum is σ = 102112210001210. Its totient is φ = 102112210001208.

The previous prime is 102112210001189. The next prime is 102112210001257. The reversal of 102112210001209 is 902100012211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92972792217600 + 9139417783609 = 9642240^2 + 3023147^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112210001209 - 2¹¹ = 102112209999161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102112210001209.

It is not a weakly prime, because it can be changed into another prime (102112210001509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056105000604 + 51056105000605.

It is an arithmetic number, because the mean of its divisors is an integer number (51056105000605).

Almost surely, 2^{102112210001209} is an apocalyptic number.

It is an amenable number.

102112210001209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112210001209 is an equidigital number, since it uses as much as digits as its factorization.

102112210001209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 102112210001209 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, one thousand, two hundred nine".