100123101131 has 2 divisors, whose sum is σ = 100123101132. Its totient is φ = 100123101130.

The previous prime is 100123101121. The next prime is 100123101161. The reversal of 100123101131 is 131101321001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100123101131 - 2¹⁰ = 100123100107 is a prime.

It is a super-2 number, since 2×100123101131² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (100123101121) 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, 50061550565 + 50061550566.

It is an arithmetic number, because the mean of its divisors is an integer number (50061550566).

Almost surely, 2^100123101131 is an apocalyptic number.

100123101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123101131 is an equidigital number, since it uses as much as digits as its factorization.

100123101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100123101131 its reverse (131101321001), we get a palindrome (231224422132).

The spelling of 100123101131 in words is "one hundred billion, one hundred twenty-three million, one hundred one thousand, one hundred thirty-one".