10100001002113 has 8 divisors (see below), whose sum is σ = 11018961806400. Its totient is φ = 9181170013680.

The previous prime is 10100001002099. The next prime is 10100001002149. The reversal of 10100001002113 is 31120010000101.

10100001002113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10100001002113 - 2⁴¹ = 7900977746561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001002113.

It is not an unprimeable number, because it can be changed into a prime (10100001002173) 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, 32291245 + ... + 32602522.

It is an arithmetic number, because the mean of its divisors is an integer number (1377370225800).

Almost surely, 2^{10100001002113} is an apocalyptic number.

It is an amenable number.

10100001002113 is a deficient number, since it is larger than the sum of its proper divisors (918960804287).

10100001002113 is a wasteful number, since it uses less digits than its factorization.

10100001002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64907927.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100001002113 its reverse (31120010000101), we get a palindrome (41220011002214).

The spelling of 10100001002113 in words is "ten trillion, one hundred billion, one million, two thousand, one hundred thirteen".