10001106061001 has 8 divisors (see below), whose sum is σ = 11041746889824. Its totient is φ = 8982373460320.

The previous prime is 10001106060983. The next prime is 10001106061033. The reversal of 10001106061001 is 10016060110001.

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 10001106061001 - 2³⁴ = 9983926191817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001106061091) 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, 5477056076 + ... + 5477057901.

It is an arithmetic number, because the mean of its divisors is an integer number (1380218361228).

Almost surely, 2^{10001106061001} is an apocalyptic number.

10001106061001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001106061001 is a deficient number, since it is larger than the sum of its proper divisors (1040640828823).

10001106061001 is a wasteful number, since it uses less digits than its factorization.

10001106061001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10954114071.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10001106061001 its reverse (10016060110001), we get a palindrome (20017166171002).

The spelling of 10001106061001 in words is "ten trillion, one billion, one hundred six million, sixty-one thousand, one".