100003013021 has 2 divisors, whose sum is σ = 100003013022. Its totient is φ = 100003013020.

The previous prime is 100003012997. The next prime is 100003013023. The reversal of 100003013021 is 120310300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70971624025 + 29031388996 = 266405^2 + 170386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100003013021 is a prime.

It is a super-2 number, since 2×100003013021² (a number of 23 digits) contains 22 as substring.

Together with 100003013023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100003012993 and 100003013011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100003013023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001506510 + 50001506511.

It is an arithmetic number, because the mean of its divisors is an integer number (50001506511).

Almost surely, 2^100003013021 is an apocalyptic number.

It is an amenable number.

100003013021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003013021 is an equidigital number, since it uses as much as digits as its factorization.

100003013021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100003013021 its reverse (120310300001), we get a palindrome (220313313022).

The spelling of 100003013021 in words is "one hundred billion, three million, thirteen thousand, twenty-one".