10001111211001 has 8 divisors (see below), whose sum is σ = 10068127100360. Its totient is φ = 9934137278208.

The previous prime is 10001111210957. The next prime is 10001111211097. The reversal of 10001111211001 is 10011211110001.

10001111211001 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 2861767688976 + 7139343522025 = 1691676^2 + 2671955^2 .

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 10001111211001 - 2²⁵ = 10001077656569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001111211101) 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, 10010736 + ... + 10964353.

It is an arithmetic number, because the mean of its divisors is an integer number (1258515887545).

Almost surely, 2^{10001111211001} is an apocalyptic number.

It is an amenable number.

10001111211001 is a deficient number, since it is larger than the sum of its proper divisors (67015889359).

10001111211001 is a wasteful number, since it uses less digits than its factorization.

10001111211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20978283.

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

Adding to 10001111211001 its reverse (10011211110001), we get a palindrome (20012322321002).

The spelling of 10001111211001 in words is "ten trillion, one billion, one hundred eleven million, two hundred eleven thousand, one".