10100001112001 has 8 divisors (see below), whose sum is σ = 10301165129664. Its totient is φ = 9899229611440.

The previous prime is 10100001111887. The next prime is 10100001112009. The reversal of 10100001112001 is 10021110000101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100001112001 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 10100001112001.

It is not an unprimeable number, because it can be changed into a prime (10100001112009) 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, 98077301 + ... + 98180226.

It is an arithmetic number, because the mean of its divisors is an integer number (1287645641208).

Almost surely, 2^{10100001112001} is an apocalyptic number.

It is an amenable number.

10100001112001 is a deficient number, since it is larger than the sum of its proper divisors (201164017663).

10100001112001 is an equidigital number, since it uses as much as digits as its factorization.

10100001112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196258551.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100001112001 its reverse (10021110000101), we get a palindrome (20121111112102).

The spelling of 10100001112001 in words is "ten trillion, one hundred billion, one million, one hundred twelve thousand, one".