10202001022113 has 32 divisors (see below), whose sum is σ = 14222558085120. Its totient is φ = 6492586763520.

The previous prime is 10202001022079. The next prime is 10202001022127. The reversal of 10202001022113 is 31122010020201.

It is not a de Polignac number, because 10202001022113 - 2¹⁰ = 10202001021089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202001022092 and 10202001022101.

It is not an unprimeable number, because it can be changed into a prime (10202001022163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79124608 + ... + 79253438.

It is an arithmetic number, because the mean of its divisors is an integer number (444454940160).

Almost surely, 2^{10202001022113} is an apocalyptic number.

It is an amenable number.

10202001022113 is a deficient number, since it is larger than the sum of its proper divisors (4020557063007).

10202001022113 is a wasteful number, since it uses less digits than its factorization.

10202001022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131149.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10202001022113 its reverse (31122010020201), we get a palindrome (41324011042314).

The spelling of 10202001022113 in words is "ten trillion, two hundred two billion, one million, twenty-two thousand, one hundred thirteen".