100210110100193 has 2 divisors, whose sum is σ = 100210110100194. Its totient is φ = 100210110100192.

The previous prime is 100210110100117. The next prime is 100210110100201. The reversal of 100210110100193 is 391001011012001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94984282096144 + 5225828004049 = 9745988^2 + 2286007^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210110100193 - 2²⁰ = 100210109051617 is a prime.

It is a super-2 number, since 2×100210110100193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100210110100493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105055050096 + 50105055050097.

It is an arithmetic number, because the mean of its divisors is an integer number (50105055050097).

Almost surely, 2^{100210110100193} is an apocalyptic number.

It is an amenable number.

100210110100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210110100193 is an equidigital number, since it uses as much as digits as its factorization.

100210110100193 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 100210110100193 its reverse (391001011012001), we get a palindrome (491211121112194).

The spelling of 100210110100193 in words is "one hundred trillion, two hundred ten billion, one hundred ten million, one hundred thousand, one hundred ninety-three".