102201102211009 has 2 divisors, whose sum is σ = 102201102211010. Its totient is φ = 102201102211008.

The previous prime is 102201102210983. The next prime is 102201102211069. The reversal of 102201102211009 is 900112201102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64027202890000 + 38173899321009 = 8001700^2 + 6178503^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201102211009 - 2²¹ = 102201100113857 is a prime.

It is not a weakly prime, because it can be changed into another prime (102201102211069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100551105504 + 51100551105505.

It is an arithmetic number, because the mean of its divisors is an integer number (51100551105505).

Almost surely, 2^{102201102211009} is an apocalyptic number.

It is an amenable number.

102201102211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201102211009 is an equidigital number, since it uses as much as digits as its factorization.

102201102211009 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 102201102211009 in words is "one hundred two trillion, two hundred one billion, one hundred two million, two hundred eleven thousand, nine".