2120000121009 has 12 divisors (see below), whose sum is σ = 3062679464052. Its totient is φ = 1413122460000.

The previous prime is 2120000120993. The next prime is 2120000121013. The reversal of 2120000121009 is 9001210000212.

It can be written as a sum of positive squares in 2 ways, for example, as 826002869409 + 1293997251600 = 908847^2 + 1137540^2 .

It is not a de Polignac number, because 2120000121009 - 2⁴ = 2120000120993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120000120982 and 2120000121000.

It is not an unprimeable number, because it can be changed into a prime (2120000121089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17515842 + ... + 17636459.

It is an arithmetic number, because the mean of its divisors is an integer number (255223288671).

Almost surely, 2^{2120000121009} is an apocalyptic number.

It is an amenable number.

2120000121009 is a deficient number, since it is larger than the sum of its proper divisors (942679343043).

2120000121009 is a wasteful number, since it uses less digits than its factorization.

2120000121009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35159008 (or 35159005 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

It can be divided in two parts, 2120000 and 121009, that added together give a square (2241009 = 1497²).

The spelling of 2120000121009 in words is "two trillion, one hundred twenty billion, one hundred twenty-one thousand, nine".