102203212213253 has 2 divisors, whose sum is σ = 102203212213254. Its totient is φ = 102203212213252.

The previous prime is 102203212213181. The next prime is 102203212213259. The reversal of 102203212213253 is 352312212302201.

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., 63215888508964 + 38987323704289 = 7950842^2 + 6243983^2 .

It is a cyclic number.

It is not a de Polignac number, because 102203212213253 - 2¹⁶ = 102203212147717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102203212213259) 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, 51101606106626 + 51101606106627.

It is an arithmetic number, because the mean of its divisors is an integer number (51101606106627).

Almost surely, 2^{102203212213253} is an apocalyptic number.

It is an amenable number.

102203212213253 is a deficient number, since it is larger than the sum of its proper divisors (1).

102203212213253 is an equidigital number, since it uses as much as digits as its factorization.

102203212213253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 102203212213253 its reverse (352312212302201), we get a palindrome (454515424515454).

The spelling of 102203212213253 in words is "one hundred two trillion, two hundred three billion, two hundred twelve million, two hundred thirteen thousand, two hundred fifty-three".