10100002020113 has 4 divisors (see below), whose sum is σ = 10694119786020. Its totient is φ = 9505884254208.

The previous prime is 10100002020077. The next prime is 10100002020131. The reversal of 10100002020113 is 31102020000101.

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 7271392688704 + 2828609331409 = 2696552^2 + 1681847^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100002020113 - 2⁶ = 10100002020049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100002020094 and 10100002020103.

It is not an unprimeable number, because it can be changed into a prime (10100002020133) 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, 297058882928 + ... + 297058882961.

It is an arithmetic number, because the mean of its divisors is an integer number (2673529946505).

Almost surely, 2^{10100002020113} is an apocalyptic number.

It is an amenable number.

10100002020113 is a deficient number, since it is larger than the sum of its proper divisors (594117765907).

10100002020113 is an equidigital number, since it uses as much as digits as its factorization.

10100002020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594117765906.

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

Adding to 10100002020113 its reverse (31102020000101), we get a palindrome (41202022020214).

The spelling of 10100002020113 in words is "ten trillion, one hundred billion, two million, twenty thousand, one hundred thirteen".