100131221110103 has 2 divisors, whose sum is σ = 100131221110104. Its totient is φ = 100131221110102.

The previous prime is 100131221110093. The next prime is 100131221110121. The reversal of 100131221110103 is 301011122131001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100131221110103 - 2⁴ = 100131221110087 is a prime.

It is a super-2 number, since 2×100131221110103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131221110133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065610555051 + 50065610555052.

It is an arithmetic number, because the mean of its divisors is an integer number (50065610555052).

Almost surely, 2^{100131221110103} is an apocalyptic number.

100131221110103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131221110103 is an equidigital number, since it uses as much as digits as its factorization.

100131221110103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100131221110103 its reverse (301011122131001), we get a palindrome (401142343241104).

The spelling of 100131221110103 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred three".