100123310101 has 4 divisors (see below), whose sum is σ = 100138670604. Its totient is φ = 100107949600.

The previous prime is 100123310083. The next prime is 100123310137. The reversal of 100123310101 is 101013321001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56389626225 + 43733683876 = 237465^2 + 209126^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123310101 - 2¹¹ = 100123308053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123310191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7670470 + ... + 7683511.

It is an arithmetic number, because the mean of its divisors is an integer number (25034667651).

Almost surely, 2^100123310101 is an apocalyptic number.

It is an amenable number.

100123310101 is a deficient number, since it is larger than the sum of its proper divisors (15360503).

100123310101 is an equidigital number, since it uses as much as digits as its factorization.

100123310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360502.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100123310101 its reverse (101013321001), we get a palindrome (201136631102).

The spelling of 100123310101 in words is "one hundred billion, one hundred twenty-three million, three hundred ten thousand, one hundred one".