2121010100873 has 2 divisors, whose sum is σ = 2121010100874. Its totient is φ = 2121010100872.

The previous prime is 2121010100861. The next prime is 2121010100893. The reversal of 2121010100873 is 3780010101212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1537607440009 + 583402660864 = 1240003^2 + 763808^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121010100873 - 2⁶ = 2121010100809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2121010100813) 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 as a sum of consecutive naturals, namely, 1060505050436 + 1060505050437.

It is an arithmetic number, because the mean of its divisors is an integer number (1060505050437).

Almost surely, 2^{2121010100873} is an apocalyptic number.

It is an amenable number.

2121010100873 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121010100873 is an equidigital number, since it uses as much as digits as its factorization.

2121010100873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 2121010100873 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred thousand, eight hundred seventy-three".