111100201001 has 8 divisors (see below), whose sum is σ = 111598086600. Its totient is φ = 110602495872.

The previous prime is 111100200989. The next prime is 111100201021. The reversal of 111100201001 is 100102001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16854270976 + 94245930025 = 129824^2 + 306995^2 .

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-111100201001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111100201001.

It is not an unprimeable number, because it can be changed into a prime (111100201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274975 + ... + 1359323.

It is an arithmetic number, because the mean of its divisors is an integer number (13949760825).

Almost surely, 2^111100201001 is an apocalyptic number.

It is an amenable number.

111100201001 is a deficient number, since it is larger than the sum of its proper divisors (497885599).

111100201001 is an equidigital number, since it uses as much as digits as its factorization.

111100201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90235.

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

Adding to 111100201001 its reverse (100102001111), we get a palindrome (211202202112).

The spelling of 111100201001 in words is "one hundred eleven billion, one hundred million, two hundred one thousand, one".