1001201110201 has 8 divisors (see below), whose sum is σ = 1061386532424. Its totient is φ = 941159159040.

The previous prime is 1001201110181. The next prime is 1001201110211. The reversal of 1001201110201 is 1020111021001.

1001201110201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 424628173225 + 576572936976 = 651635^2 + 759324^2 .

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 1001201110201 - 2³¹ = 999053626553 is a prime.

It is a super-3 number, since 3×1001201110201³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001201110211) 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, 35853390 + ... + 35881303.

It is an arithmetic number, because the mean of its divisors is an integer number (132673316553).

Almost surely, 2^{1001201110201} is an apocalyptic number.

It is an amenable number.

1001201110201 is a deficient number, since it is larger than the sum of its proper divisors (60185422223).

1001201110201 is an equidigital number, since it uses as much as digits as its factorization.

1001201110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71735531.

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

Adding to 1001201110201 its reverse (1020111021001), we get a palindrome (2021312131202).

The spelling of 1001201110201 in words is "one trillion, one billion, two hundred one million, one hundred ten thousand, two hundred one".