100121212110193 has 2 divisors, whose sum is σ = 100121212110194. Its totient is φ = 100121212110192.

The previous prime is 100121212110163. The next prime is 100121212110223. The reversal of 100121212110193 is 391011212121001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100121212110163) and next prime (100121212110223).

It can be written as a sum of positive squares in only one way, i.e., 95679542054464 + 4441670055729 = 9781592^2 + 2107527^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121212110193 - 2¹³ = 100121212102001 is a prime.

It is a super-2 number, since 2×100121212110193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100121212110163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060606055096 + 50060606055097.

It is an arithmetic number, because the mean of its divisors is an integer number (50060606055097).

Almost surely, 2^{100121212110193} is an apocalyptic number.

It is an amenable number.

100121212110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121212110193 is an equidigital number, since it uses as much as digits as its factorization.

100121212110193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 25.

Adding to 100121212110193 its reverse (391011212121001), we get a palindrome (491132424231194).

The spelling of 100121212110193 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, one hundred ninety-three".