10100202113 has 8 divisors (see below), whose sum is σ = 10462805640. Its totient is φ = 9743134720.

The previous prime is 10100202097. The next prime is 10100202121. The reversal of 10100202113 is 31120200101.

It can be written as a sum of positive squares in 4 ways, for example, as 1229764624 + 8870437489 = 35068^2 + 94183^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100202113 - 2⁴ = 10100202097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100202094 and 10100202103.

It is not an unprimeable number, because it can be changed into a prime (10100202713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380320 + ... + 1387617.

It is an arithmetic number, because the mean of its divisors is an integer number (1307850705).

Almost surely, 2^10100202113 is an apocalyptic number.

It is an amenable number.

10100202113 is a deficient number, since it is larger than the sum of its proper divisors (362603527).

10100202113 is an equidigital number, since it uses as much as digits as its factorization.

10100202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768067.

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

Adding to 10100202113 its reverse (31120200101), we get a palindrome (41220402214).

The spelling of 10100202113 in words is "ten billion, one hundred million, two hundred two thousand, one hundred thirteen".