100211313353 has 2 divisors, whose sum is σ = 100211313354. Its totient is φ = 100211313352.

The previous prime is 100211313317. The next prime is 100211313359. The reversal of 100211313353 is 353313112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77803618489 + 22407694864 = 278933^2 + 149692^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211313353 - 2¹⁶ = 100211247817 is a prime.

It is a super-2 number, since 2×100211313353² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100211313359) 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, 50105656676 + 50105656677.

It is an arithmetic number, because the mean of its divisors is an integer number (50105656677).

Almost surely, 2^100211313353 is an apocalyptic number.

It is an amenable number.

100211313353 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211313353 is an equidigital number, since it uses as much as digits as its factorization.

100211313353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 100211313353 its reverse (353313112001), we get a palindrome (453524425354).

The spelling of 100211313353 in words is "one hundred billion, two hundred eleven million, three hundred thirteen thousand, three hundred fifty-three".