10100200202113 has 36 divisors (see below), whose sum is σ = 12061618577676. Its totient is φ = 8432939827200.

The previous prime is 10100200202093. The next prime is 10100200202143. The reversal of 10100200202113 is 31120200200101.

10100200202113 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 6 ways, for example, as 1546259919169 + 8553940282944 = 1243487^2 + 2924712^2 .

It is not a de Polignac number, because 10100200202113 - 2¹³ = 10100200193921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100200202093 and 10100200202102.

It is not an unprimeable number, because it can be changed into a prime (10100200202143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52702881 + ... + 52894177.

It is an arithmetic number, because the mean of its divisors is an integer number (335044960491).

Almost surely, 2^{10100200202113} is an apocalyptic number.

It is an amenable number.

10100200202113 is a deficient number, since it is larger than the sum of its proper divisors (1961418375563).

10100200202113 is an equidigital number, since it uses as much as digits as its factorization.

10100200202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192034 (or 191986 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10100200202113 its reverse (31120200200101), we get a palindrome (41220400402214).

The spelling of 10100200202113 in words is "ten trillion, one hundred billion, two hundred million, two hundred two thousand, one hundred thirteen".