201001011100111 has 12 divisors (see below), whose sum is σ = 212651717713848. Its totient is φ = 189945428991824.

The previous prime is 201001011100079. The next prime is 201001011100139. The reversal of 201001011100111 is 111001110100102.

It is not a de Polignac number, because 201001011100111 - 2⁵ = 201001011100079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001011100711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2288896480 + ... + 2288984293.

It is an arithmetic number, because the mean of its divisors is an integer number (17720976476154).

Almost surely, 2^{201001011100111} is an apocalyptic number.

201001011100111 is a deficient number, since it is larger than the sum of its proper divisors (11650706613737).

201001011100111 is an equidigital number, since it uses as much as digits as its factorization.

201001011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577880902 (or 4577880879 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 201001011100111 its reverse (111001110100102), we get a palindrome (312002121200213).

It can be divided in two parts, 20100101 and 1100111, that added together give a palindrome (21200212).

The spelling of 201001011100111 in words is "two hundred one trillion, one billion, eleven million, one hundred thousand, one hundred eleven".