1021212005617 has 2 divisors, whose sum is σ = 1021212005618. Its totient is φ = 1021212005616.

The previous prime is 1021212005603. The next prime is 1021212005629. The reversal of 1021212005617 is 7165002121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 526856770801 + 494355234816 = 725849^2 + 703104^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021212005617 - 2²⁷ = 1021077787889 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021212005017) 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, 510606002808 + 510606002809.

It is an arithmetic number, because the mean of its divisors is an integer number (510606002809).

Almost surely, 2^{1021212005617} is an apocalyptic number.

It is an amenable number.

1021212005617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021212005617 is an equidigital number, since it uses as much as digits as its factorization.

1021212005617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 1021212005617 its reverse (7165002121201), we get a palindrome (8186214126818).

The spelling of 1021212005617 in words is "one trillion, twenty-one billion, two hundred twelve million, five thousand, six hundred seventeen".