10100011110601 has 2 divisors, whose sum is σ = 10100011110602. Its totient is φ = 10100011110600.

The previous prime is 10100011110577. The next prime is 10100011110611. The reversal of 10100011110601 is 10601111000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8145607110601 + 1954404000000 = 2854051^2 + 1398000^2 .

It is an emirp because it is prime and its reverse (10601111000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100011110601 - 2⁹ = 10100011110089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100011110611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005555300 + 5050005555301.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005555301).

Almost surely, 2^{10100011110601} is an apocalyptic number.

It is an amenable number.

10100011110601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011110601 is an equidigital number, since it uses as much as digits as its factorization.

10100011110601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10100011110601 its reverse (10601111000101), we get a palindrome (20701122110702).

The spelling of 10100011110601 in words is "ten trillion, one hundred billion, eleven million, one hundred ten thousand, six hundred one".