2000122121009 has 2 divisors, whose sum is σ = 2000122121010. Its totient is φ = 2000122121008.

The previous prime is 2000122120979. The next prime is 2000122121071. The reversal of 2000122121009 is 9001212210002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1904477280784 + 95644840225 = 1380028^2 + 309265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000122121009 - 2³⁶ = 1931402644273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000122129009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000061060504 + 1000061060505.

It is an arithmetic number, because the mean of its divisors is an integer number (1000061060505).

Almost surely, 2^{2000122121009} is an apocalyptic number.

It is an amenable number.

2000122121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000122121009 is an equidigital number, since it uses as much as digits as its factorization.

2000122121009 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 20.

The spelling of 2000122121009 in words is "two trillion, one hundred twenty-two million, one hundred twenty-one thousand, nine".