2121122310009 has 16 divisors (see below), whose sum is σ = 2933207035200. Its totient is φ = 1361810265536.

The previous prime is 2121122309993. The next prime is 2121122310053. The reversal of 2121122310009 is 9000132211212.

It is a cyclic number.

It is not a de Polignac number, because 2121122310009 - 2⁴ = 2121122309993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121122310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31303839 + ... + 31371524.

It is an arithmetic number, because the mean of its divisors is an integer number (183325439700).

Almost surely, 2^{2121122310009} is an apocalyptic number.

2121122310009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2121122310009 is a deficient number, since it is larger than the sum of its proper divisors (812084725191).

2121122310009 is a wasteful number, since it uses less digits than its factorization.

2121122310009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62675784.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 2121122310009 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, three hundred ten thousand, nine".