10002112101001 has 32 divisors (see below), whose sum is σ = 10706164761600. Its totient is φ = 9311431434240.

The previous prime is 10002112100999. The next prime is 10002112101041. The reversal of 10002112101001 is 10010121120001.

It is a cyclic number.

It is not a de Polignac number, because 10002112101001 - 2¹ = 10002112100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002112101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990989911 + ... + 991000003.

It is an arithmetic number, because the mean of its divisors is an integer number (334567648800).

Almost surely, 2^{10002112101001} is an apocalyptic number.

It is an amenable number.

10002112101001 is a deficient number, since it is larger than the sum of its proper divisors (704052660599).

10002112101001 is a wasteful number, since it uses less digits than its factorization.

10002112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002112101001 its reverse (10010121120001), we get a palindrome (20012233221002).

The spelling of 10002112101001 in words is "ten trillion, two billion, one hundred twelve million, one hundred one thousand, one".