2121310100957 has 2 divisors, whose sum is σ = 2121310100958. Its totient is φ = 2121310100956.

The previous prime is 2121310100933. The next prime is 2121310100963. The reversal of 2121310100957 is 7590010131212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2116600161316 + 4709939641 = 1454854^2 + 68629^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121310100957 - 2¹⁰ = 2121310099933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121310109957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060655050478 + 1060655050479.

It is an arithmetic number, because the mean of its divisors is an integer number (1060655050479).

Almost surely, 2^{2121310100957} is an apocalyptic number.

It is an amenable number.

2121310100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121310100957 is an equidigital number, since it uses as much as digits as its factorization.

2121310100957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 2121310100957 in words is "two trillion, one hundred twenty-one billion, three hundred ten million, one hundred thousand, nine hundred fifty-seven".