10201002100013 has 4 divisors (see below), whose sum is σ = 10201038171900. Its totient is φ = 10200966028128.

The previous prime is 10201002099979. The next prime is 10201002100021. The reversal of 10201002100013 is 31000120010201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7691065318729 + 2509936781284 = 2773277^2 + 1584278^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201002100013 - 2⁶ = 10201002099949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201002099967 and 10201002100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201002100043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17608370 + ... + 18178467.

It is an arithmetic number, because the mean of its divisors is an integer number (2550259542975).

Almost surely, 2^{10201002100013} is an apocalyptic number.

It is an amenable number.

10201002100013 is a deficient number, since it is larger than the sum of its proper divisors (36071887).

10201002100013 is an equidigital number, since it uses as much as digits as its factorization.

10201002100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36071886.

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

Adding to 10201002100013 its reverse (31000120010201), we get a palindrome (41201122110214).

The spelling of 10201002100013 in words is "ten trillion, two hundred one billion, two million, one hundred thousand, thirteen".