2121000018953 has 2 divisors, whose sum is σ = 2121000018954. Its totient is φ = 2121000018952.

The previous prime is 2121000018937. The next prime is 2121000018959. The reversal of 2121000018953 is 3598100001212.

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., 1723107779584 + 397892239369 = 1312672^2 + 630787^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121000018953 - 2⁴ = 2121000018937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121000018959) 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, 1060500009476 + 1060500009477.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500009477).

Almost surely, 2^{2121000018953} is an apocalyptic number.

It is an amenable number.

2121000018953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121000018953 is an equidigital number, since it uses as much as digits as its factorization.

2121000018953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 2121000018953 in words is "two trillion, one hundred twenty-one billion, eighteen thousand, nine hundred fifty-three".