10201011001001 has 16 divisors (see below), whose sum is σ = 10385897946000. Its totient is φ = 10016707276800.

The previous prime is 10201011000877. The next prime is 10201011001003. The reversal of 10201011001001 is 10010011010201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1358262048025 + 8842748952976 = 1165445^2 + 2973676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201011001001 - 2⁴² = 5802964489897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201011001001.

It is not an unprimeable number, because it can be changed into a prime (10201011001003) 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, 91804925 + ... + 91915973.

It is an arithmetic number, because the mean of its divisors is an integer number (649118621625).

Almost surely, 2^{10201011001001} is an apocalyptic number.

It is an amenable number.

10201011001001 is a deficient number, since it is larger than the sum of its proper divisors (184886944999).

10201011001001 is a wasteful number, since it uses less digits than its factorization.

10201011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113660.

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

Adding to 10201011001001 its reverse (10010011010201), we get a palindrome (20211022011202).

The spelling of 10201011001001 in words is "ten trillion, two hundred one billion, eleven million, one thousand, one".