10100210013 has 12 divisors (see below), whose sum is σ = 14983495228. Its totient is φ = 6551487360.

The previous prime is 10100210011. The next prime is 10100210023. The reversal of 10100210013 is 31001200101.

10100210013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4982524569 + 5117685444 = 70587^2 + 71538^2 .

It is not a de Polignac number, because 10100210013 - 2¹ = 10100210011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100209977 and 10100210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15165148 + ... + 15165813.

Almost surely, 2^10100210013 is an apocalyptic number.

It is an amenable number.

10100210013 is a deficient number, since it is larger than the sum of its proper divisors (4883285215).

10100210013 is a wasteful number, since it uses less digits than its factorization.

10100210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30331004 (or 30331001 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100210013 its reverse (31001200101), we get a palindrome (41101410114).

The spelling of 10100210013 in words is "ten billion, one hundred million, two hundred ten thousand, thirteen".