100121311253 has 2 divisors, whose sum is σ = 100121311254. Its totient is φ = 100121311252.

The previous prime is 100121311207. The next prime is 100121311259. The reversal of 100121311253 is 352113121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99806710084 + 314601169 = 315922^2 + 17737^2 .

It is an emirp because it is prime and its reverse (352113121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121311253 - 2⁸ = 100121310997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121311259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060655626 + 50060655627.

It is an arithmetic number, because the mean of its divisors is an integer number (50060655627).

Almost surely, 2^100121311253 is an apocalyptic number.

It is an amenable number.

100121311253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121311253 is an equidigital number, since it uses as much as digits as its factorization.

100121311253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 100121311253 its reverse (352113121001), we get a palindrome (452234432254).

The spelling of 100121311253 in words is "one hundred billion, one hundred twenty-one million, three hundred eleven thousand, two hundred fifty-three".