10101111004001 has 2 divisors, whose sum is σ = 10101111004002. Its totient is φ = 10101111004000.

The previous prime is 10101111003967. The next prime is 10101111004003. The reversal of 10101111004001 is 10040011110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6829990230625 + 3271120773376 = 2613425^2 + 1808624^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111004001 - 2³⁴ = 10083931134817 is a prime.

Together with 10101111004003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10101111004003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555502000 + 5050555502001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555502001).

Almost surely, 2^{10101111004001} is an apocalyptic number.

It is an amenable number.

10101111004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111004001 is an equidigital number, since it uses as much as digits as its factorization.

10101111004001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101111004001 its reverse (10040011110101), we get a palindrome (20141122114102).

The spelling of 10101111004001 in words is "ten trillion, one hundred one billion, one hundred eleven million, four thousand, one".