201111122001001 has 8 divisors (see below), whose sum is σ = 205208338675464. Its totient is φ = 197025115223040.

The previous prime is 201111122000963. The next prime is 201111122001007. The reversal of 201111122001001 is 100100221111102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84954029136601 + 116157092864400 = 9217051^2 + 10777620^2 .

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 201111122001001 - 2¹¹ = 201111121998953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201111122001007) 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, 2802437880 + ... + 2802509641.

It is an arithmetic number, because the mean of its divisors is an integer number (25651042334433).

Almost surely, 2^{201111122001001} is an apocalyptic number.

It is an amenable number.

201111122001001 is a deficient number, since it is larger than the sum of its proper divisors (4097216674463).

201111122001001 is an equidigital number, since it uses as much as digits as its factorization.

201111122001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604948251.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201111122001001 its reverse (100100221111102), we get a palindrome (301211343112103).

The spelling of 201111122001001 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, one thousand, one".