10110001004101 has 2 divisors, whose sum is σ = 10110001004102. Its totient is φ = 10110001004100.

The previous prime is 10110001004083. The next prime is 10110001004111. The reversal of 10110001004101 is 10140010001101.

It is an a-pointer prime, because the next prime (10110001004111) can be obtained adding 10110001004101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10109442816225 + 558187876 = 3179535^2 + 23626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110001004101 - 2¹³ = 10110000995909 is a prime.

It is a super-3 number, since 3×10110001004101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110001004111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000502050 + 5055000502051.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000502051).

Almost surely, 2^{10110001004101} is an apocalyptic number.

It is an amenable number.

10110001004101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110001004101 is an equidigital number, since it uses as much as digits as its factorization.

10110001004101 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 10.

Adding to 10110001004101 its reverse (10140010001101), we get a palindrome (20250011005202).

The spelling of 10110001004101 in words is "ten trillion, one hundred ten billion, one million, four thousand, one hundred one".