100201102121209 has 2 divisors, whose sum is σ = 100201102121210. Its totient is φ = 100201102121208.

The previous prime is 100201102121137. The next prime is 100201102121303. The reversal of 100201102121209 is 902121201102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68544275047609 + 31656827073600 = 8279147^2 + 5626440^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201102121209 - 2¹³ = 100201102113017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100201102121209.

It is not a weakly prime, because it can be changed into another prime (100201102121909) 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, 50100551060604 + 50100551060605.

It is an arithmetic number, because the mean of its divisors is an integer number (50100551060605).

Almost surely, 2^{100201102121209} is an apocalyptic number.

It is an amenable number.

100201102121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201102121209 is an equidigital number, since it uses as much as digits as its factorization.

100201102121209 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 100201102121209 in words is "one hundred trillion, two hundred one billion, one hundred two million, one hundred twenty-one thousand, two hundred nine".