100120211121209 has 2 divisors, whose sum is σ = 100120211121210. Its totient is φ = 100120211121208.

The previous prime is 100120211121191. The next prime is 100120211121223. The reversal of 100120211121209 is 902121112021001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77314123194025 + 22806087927184 = 8792845^2 + 4775572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120211121209 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120211121409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060105560604 + 50060105560605.

It is an arithmetic number, because the mean of its divisors is an integer number (50060105560605).

Almost surely, 2^{100120211121209} is an apocalyptic number.

It is an amenable number.

100120211121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120211121209 is an equidigital number, since it uses as much as digits as its factorization.

100120211121209 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 23.

The spelling of 100120211121209 in words is "one hundred trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, two hundred nine".