10010111011001 has 2 divisors, whose sum is σ = 10010111011002. Its totient is φ = 10010111011000.

The previous prime is 10010111010997. The next prime is 10010111011013. The reversal of 10010111011001 is 10011011101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9064169976976 + 945941034025 = 3010676^2 + 972595^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010111011001 - 2² = 10010111010997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010111011001.

It is not a weakly prime, because it can be changed into another prime (10010111019001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005055505500 + 5005055505501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055505501).

Almost surely, 2^{10010111011001} is an apocalyptic number.

It is an amenable number.

10010111011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111011001 is an equidigital number, since it uses as much as digits as its factorization.

10010111011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10010111011001 its reverse (10011011101001), we get a palindrome (20021122112002).

It can be divided in two parts, 100 and 10111011001, that added together give a palindrome (10111011101).

The spelling of 10010111011001 in words is "ten trillion, ten billion, one hundred eleven million, eleven thousand, one".