10010200020113 has 8 divisors (see below), whose sum is σ = 10449599330688. Its totient is φ = 9571148478144.

The previous prime is 10010200020101. The next prime is 10010200020127. The reversal of 10010200020113 is 31102000201001.

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 10010200020113 - 2²⁸ = 10009931584657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10010200020094 and 10010200020103.

It is not an unprimeable number, because it can be changed into a prime (10010200020143) 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, 86883320 + ... + 86998457.

It is an arithmetic number, because the mean of its divisors is an integer number (1306199916336).

Almost surely, 2^{10010200020113} is an apocalyptic number.

It is an amenable number.

10010200020113 is a deficient number, since it is larger than the sum of its proper divisors (439399310575).

10010200020113 is a wasteful number, since it uses less digits than its factorization.

10010200020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173884303.

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

Adding to 10010200020113 its reverse (31102000201001), we get a palindrome (41112200221114).

The spelling of 10010200020113 in words is "ten trillion, ten billion, two hundred million, twenty thousand, one hundred thirteen".