201001111000001 has 16 divisors (see below), whose sum is σ = 218616597939600. Its totient is φ = 183693498067200.

The previous prime is 201001110999977. The next prime is 201001111000099. The reversal of 201001111000001 is 100000111100102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 75833705145025 + 125167405854976 = 8708255^2 + 11187824^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001111000001 - 2¹⁰ = 201001110998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201001116000001) 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, 23255951 + ... + 30705723.

It is an arithmetic number, because the mean of its divisors is an integer number (13663537371225).

Almost surely, 2^{201001111000001} is an apocalyptic number.

It is an amenable number.

201001111000001 is a deficient number, since it is larger than the sum of its proper divisors (17615486939599).

201001111000001 is a wasteful number, since it uses less digits than its factorization.

201001111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470436.

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

Adding to 201001111000001 its reverse (100000111100102), we get a palindrome (301001222100103).

It can be divided in two parts, 20100111 and 1000001, that added together give a palindrome (21100112).

The spelling of 201001111000001 in words is "two hundred one trillion, one billion, one hundred eleven million, one", and thus it is an aban number.