2121121200973 has 2 divisors, whose sum is σ = 2121121200974. Its totient is φ = 2121121200972.

The previous prime is 2121121200971. The next prime is 2121121201013. The reversal of 2121121200973 is 3790021211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1923222560809 + 197898640164 = 1386803^2 + 444858^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121121200973 - 2¹ = 2121121200971 is a prime.

It is a super-2 number, since 2×2121121200973² (a number of 25 digits) contains 22 as substring.

Together with 2121121200971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121121200971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060560600486 + 1060560600487.

It is an arithmetic number, because the mean of its divisors is an integer number (1060560600487).

Almost surely, 2^{2121121200973} is an apocalyptic number.

It is an amenable number.

2121121200973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121121200973 is an equidigital number, since it uses as much as digits as its factorization.

2121121200973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 2121121200973 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, nine hundred seventy-three".