100012102013 has 4 divisors (see below), whose sum is σ = 100060442460. Its totient is φ = 99963761568.

The previous prime is 100012101953. The next prime is 100012102027. The reversal of 100012102013 is 310201210001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310201210001 = 3371 ⋅92020531.

It can be written as a sum of positive squares in 2 ways, for example, as 20833458244 + 79178643769 = 144338^2 + 281387^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012102013 - 2¹⁸ = 100011839869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012101985 and 100012102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012102063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24167120 + ... + 24171257.

It is an arithmetic number, because the mean of its divisors is an integer number (25015110615).

Almost surely, 2^100012102013 is an apocalyptic number.

It is an amenable number.

100012102013 is a deficient number, since it is larger than the sum of its proper divisors (48340447).

100012102013 is an equidigital number, since it uses as much as digits as its factorization.

100012102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48340446.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100012102013 its reverse (310201210001), we get a palindrome (410213312014).

The spelling of 100012102013 in words is "one hundred billion, twelve million, one hundred two thousand, thirteen".