100211100001193 has 2 divisors, whose sum is σ = 100211100001194. Its totient is φ = 100211100001192.

The previous prime is 100211100001183. The next prime is 100211100001241. The reversal of 100211100001193 is 391100001112001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66884460037264 + 33326639963929 = 8178292^2 + 5772923^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211100001193 - 2²⁸ = 100210831565737 is a prime.

It is not a weakly prime, because it can be changed into another prime (100211100001153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105550000596 + 50105550000597.

It is an arithmetic number, because the mean of its divisors is an integer number (50105550000597).

Almost surely, 2^{100211100001193} is an apocalyptic number.

It is an amenable number.

100211100001193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211100001193 is an equidigital number, since it uses as much as digits as its factorization.

100211100001193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 100211100001193 its reverse (391100001112001), we get a palindrome (491311101113194).

The spelling of 100211100001193 in words is "one hundred trillion, two hundred eleven billion, one hundred million, one thousand, one hundred ninety-three".