221210312000257 has 2 divisors, whose sum is σ = 221210312000258. Its totient is φ = 221210312000256.

The previous prime is 221210312000243. The next prime is 221210312000477. The reversal of 221210312000257 is 752000213012122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203603904392256 + 17606407608001 = 14268984^2 + 4195999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221210312000257 is a prime.

It is a super-2 number, since 2×221210312000257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221210312003257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605156000128 + 110605156000129.

It is an arithmetic number, because the mean of its divisors is an integer number (110605156000129).

Almost surely, 2^{221210312000257} is an apocalyptic number.

It is an amenable number.

221210312000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210312000257 is an equidigital number, since it uses as much as digits as its factorization.

221210312000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 221210312000257 its reverse (752000213012122), we get a palindrome (973210525012379).

The spelling of 221210312000257 in words is "two hundred twenty-one trillion, two hundred ten billion, three hundred twelve million, two hundred fifty-seven", and thus it is an aban number.