10010200113 has 24 divisors (see below), whose sum is σ = 14932100456. Its totient is φ = 6457190400.

The previous prime is 10010200073. The next prime is 10010200121. The reversal of 10010200113 is 31100201001.

It can be written as a sum of positive squares in 4 ways, for example, as 338854464 + 9671345649 = 18408^2 + 98343^2 .

It is not a de Polignac number, because 10010200113 - 2¹³ = 10010191921 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10010200095 and 10010200104.

It is not an unprimeable number, because it can be changed into a prime (10010200163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22768 + ... + 143313.

Almost surely, 2^10010200113 is an apocalyptic number.

It is an amenable number.

10010200113 is a deficient number, since it is larger than the sum of its proper divisors (4921900343).

10010200113 is a wasteful number, since it uses less digits than its factorization.

10010200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166305 (or 166302 counting only the distinct ones).

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

Adding to 10010200113 its reverse (31100201001), we get a palindrome (41110401114).

The spelling of 10010200113 in words is "ten billion, ten million, two hundred thousand, one hundred thirteen".