101212002257 has 2 divisors, whose sum is σ = 101212002258. Its totient is φ = 101212002256.

The previous prime is 101212002197. The next prime is 101212002271. The reversal of 101212002257 is 752200212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91617603856 + 9594398401 = 302684^2 + 97951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212002257 - 2¹⁴ = 101211985873 is a prime.

It is not a weakly prime, because it can be changed into another prime (101214002257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606001128 + 50606001129.

It is an arithmetic number, because the mean of its divisors is an integer number (50606001129).

Almost surely, 2^101212002257 is an apocalyptic number.

It is an amenable number.

101212002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212002257 is an equidigital number, since it uses as much as digits as its factorization.

101212002257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 101212002257 its reverse (752200212101), we get a palindrome (853412214358).

The spelling of 101212002257 in words is "one hundred one billion, two hundred twelve million, two thousand, two hundred fifty-seven".