2002121120009 has 2 divisors, whose sum is σ = 2002121120010. Its totient is φ = 2002121120008.

The previous prime is 2002121120003. The next prime is 2002121120101. The reversal of 2002121120009 is 9000211212002.

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., 1820988313600 + 181132806409 = 1349440^2 + 425597^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002121120009 - 2⁴ = 2002121119993 is a prime.

It is a super-3 number, since 3×2002121120009³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2002121120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001060560004 + 1001060560005.

It is an arithmetic number, because the mean of its divisors is an integer number (1001060560005).

Almost surely, 2^{2002121120009} is an apocalyptic number.

It is an amenable number.

2002121120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002121120009 is an equidigital number, since it uses as much as digits as its factorization.

2002121120009 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 2002121120009 in words is "two trillion, two billion, one hundred twenty-one million, one hundred twenty thousand, nine".