10211201202113 has 8 divisors (see below), whose sum is σ = 10256570922600. Its totient is φ = 10165930220160.

The previous prime is 10211201202077. The next prime is 10211201202173. The reversal of 10211201202113 is 31120210211201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75841304449 + 10135359897664 = 275393^2 + 3183608^2 .

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 10211201202113 - 2¹⁸ = 10211200939969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211201202091 and 10211201202100.

It is not an unprimeable number, because it can be changed into a prime (10211201202173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24477338 + ... + 24891011.

It is an arithmetic number, because the mean of its divisors is an integer number (1282071365325).

Almost surely, 2^{10211201202113} is an apocalyptic number.

It is an amenable number.

10211201202113 is a deficient number, since it is larger than the sum of its proper divisors (45369720487).

10211201202113 is an equidigital number, since it uses as much as digits as its factorization.

10211201202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49369267.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10211201202113 its reverse (31120210211201), we get a palindrome (41331411413314).

The spelling of 10211201202113 in words is "ten trillion, two hundred eleven billion, two hundred one million, two hundred two thousand, one hundred thirteen".