10001010001201 has 8 divisors (see below), whose sum is σ = 10589614401384. Its totient is φ = 9412440011520.

The previous prime is 10001010001181. The next prime is 10001010001217. The reversal of 10001010001201 is 10210001010001.

It can be written as a sum of positive squares in 4 ways, for example, as 8341612594225 + 1659397406976 = 2888185^2 + 1288176^2 .

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-10001010001201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001010001231) 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, 8003050 + ... + 9167923.

It is an arithmetic number, because the mean of its divisors is an integer number (1323701800173).

Almost surely, 2^{10001010001201} is an apocalyptic number.

It is an amenable number.

10001010001201 is a deficient number, since it is larger than the sum of its proper divisors (588604400183).

10001010001201 is a wasteful number, since it uses less digits than its factorization.

10001010001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17205251.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001010001201 its reverse (10210001010001), we get a palindrome (20211011011202).

The spelling of 10001010001201 in words is "ten trillion, one billion, ten million, one thousand, two hundred one".