10000112101001 has 16 divisors (see below), whose sum is σ = 11017551787200. Its totient is φ = 9000734184000.

The previous prime is 10000112100977. The next prime is 10000112101027. The reversal of 10000112101001 is 10010121100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10000112101001 - 2³⁴ = 9982932231817 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 10000112101001.

It is not an unprimeable number, because it can be changed into a prime (10000112101901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43903115 + ... + 44130303.

It is an arithmetic number, because the mean of its divisors is an integer number (688596986700).

Almost surely, 2^{10000112101001} is an apocalyptic number.

10000112101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000112101001 is a deficient number, since it is larger than the sum of its proper divisors (1017439686199).

10000112101001 is a wasteful number, since it uses less digits than its factorization.

10000112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266920.

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

Adding to 10000112101001 its reverse (10010121100001), we get a palindrome (20010233201002).

The spelling of 10000112101001 in words is "ten trillion, one hundred twelve million, one hundred one thousand, one".