100100434103101 has 2 divisors, whose sum is σ = 100100434103102. Its totient is φ = 100100434103100.

The previous prime is 100100434103051. The next prime is 100100434103107. The reversal of 100100434103101 is 101301434001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93731422887001 + 6369011216100 = 9681499^2 + 2523690^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100434103101 - 2¹⁷ = 100100433972029 is a prime.

It is a super-3 number, since 3×100100434103101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100434103107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050217051550 + 50050217051551.

It is an arithmetic number, because the mean of its divisors is an integer number (50050217051551).

Almost surely, 2^{100100434103101} is an apocalyptic number.

It is an amenable number.

100100434103101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100434103101 is an equidigital number, since it uses as much as digits as its factorization.

100100434103101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100100434103101 its reverse (101301434001001), we get a palindrome (201401868104102).

The spelling of 100100434103101 in words is "one hundred trillion, one hundred billion, four hundred thirty-four million, one hundred three thousand, one hundred one".