21102331312253 has 2 divisors, whose sum is σ = 21102331312254. Its totient is φ = 21102331312252.

The previous prime is 21102331312243. The next prime is 21102331312261. The reversal of 21102331312253 is 35221313320112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13186644720964 + 7915686591289 = 3631342^2 + 2813483^2 .

It is a cyclic number.

It is not a de Polignac number, because 21102331312253 - 2²⁶ = 21102264203389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21102331312243) 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, 10551165656126 + 10551165656127.

It is an arithmetic number, because the mean of its divisors is an integer number (10551165656127).

Almost surely, 2^{21102331312253} is an apocalyptic number.

It is an amenable number.

21102331312253 is a deficient number, since it is larger than the sum of its proper divisors (1).

21102331312253 is an equidigital number, since it uses as much as digits as its factorization.

21102331312253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 21102331312253 its reverse (35221313320112), we get a palindrome (56323644632365).

The spelling of 21102331312253 in words is "twenty-one trillion, one hundred two billion, three hundred thirty-one million, three hundred twelve thousand, two hundred fifty-three".