201100120102009 has 2 divisors, whose sum is σ = 201100120102010. Its totient is φ = 201100120102008.

The previous prime is 201100120101989. The next prime is 201100120102019. The reversal of 201100120102009 is 900201021001102.

It is a happy number.

201100120102009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170205943690000 + 30894176412009 = 13046300^2 + 5558253^2 .

It is a cyclic number.

It is not a de Polignac number, because 201100120102009 - 2²¹ = 201100118004857 is a prime.

It is not a weakly prime, because it can be changed into another prime (201100120102019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550060051004 + 100550060051005.

It is an arithmetic number, because the mean of its divisors is an integer number (100550060051005).

Almost surely, 2^{201100120102009} is an apocalyptic number.

It is an amenable number.

201100120102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

201100120102009 is an equidigital number, since it uses as much as digits as its factorization.

201100120102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 201100120102009 in words is "two hundred one trillion, one hundred billion, one hundred twenty million, one hundred two thousand, nine".