10010111010401 has 2 divisors, whose sum is σ = 10010111010402. Its totient is φ = 10010111010400.

The previous prime is 10010111010371. The next prime is 10010111010443. The reversal of 10010111010401 is 10401011101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6913218490000 + 3096892520401 = 2629300^2 + 1759799^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010111010401 - 2³⁰ = 10009037268577 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010111030401) 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 as a sum of consecutive naturals, namely, 5005055505200 + 5005055505201.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055505201).

Almost surely, 2^{10010111010401} is an apocalyptic number.

It is an amenable number.

10010111010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111010401 is an equidigital number, since it uses as much as digits as its factorization.

10010111010401 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 10010111010401 its reverse (10401011101001), we get a palindrome (20411122111402).

The spelling of 10010111010401 in words is "ten trillion, ten billion, one hundred eleven million, ten thousand, four hundred one".