10201110111001 has 8 divisors (see below), whose sum is σ = 10210058154504. Its totient is φ = 10192164850560.

The previous prime is 10201110110969. The next prime is 10201110111047. The reversal of 10201110111001 is 10011101110201.

It can be written as a sum of positive squares in 4 ways, for example, as 3513450336400 + 6687659774601 = 1874420^2 + 2586051^2 .

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 10201110111001 - 2⁵ = 10201110110969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201110111601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6672475 + ... + 8057551.

It is an arithmetic number, because the mean of its divisors is an integer number (1276257269313).

Almost surely, 2^{10201110111001} is an apocalyptic number.

It is an amenable number.

10201110111001 is a deficient number, since it is larger than the sum of its proper divisors (8948043503).

10201110111001 is a wasteful number, since it uses less digits than its factorization.

10201110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391531.

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

Adding to 10201110111001 its reverse (10011101110201), we get a palindrome (20212211221202).

The spelling of 10201110111001 in words is "ten trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, one".