10100011013101 has 2 divisors, whose sum is σ = 10100011013102. Its totient is φ = 10100011013100.

The previous prime is 10100011013093. The next prime is 10100011013117. The reversal of 10100011013101 is 10131011000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9936831371076 + 163179642025 = 3152274^2 + 403955^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011013101 - 2³ = 10100011013093 is a prime.

It is a super-2 number, since 2×10100011013101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011013201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005506550 + 5050005506551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005506551).

Almost surely, 2^{10100011013101} is an apocalyptic number.

It is an amenable number.

10100011013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011013101 is an equidigital number, since it uses as much as digits as its factorization.

10100011013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10100011013101 its reverse (10131011000101), we get a palindrome (20231022013202).

The spelling of 10100011013101 in words is "ten trillion, one hundred billion, eleven million, thirteen thousand, one hundred one".