101000011611101 has 2 divisors, whose sum is σ = 101000011611102. Its totient is φ = 101000011611100.

The previous prime is 101000011611077. The next prime is 101000011611127. The reversal of 101000011611101 is 101116110000101.

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., 92501095827001 + 8498915784100 = 9617749^2 + 2915290^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000011611101 - 2¹⁴ = 101000011594717 is a prime.

It is a super-3 number, since 3×101000011611101³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000011611701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005805550 + 50500005805551.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005805551).

Almost surely, 2^{101000011611101} is an apocalyptic number.

It is an amenable number.

101000011611101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011611101 is an equidigital number, since it uses as much as digits as its factorization.

101000011611101 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 14.

Adding to 101000011611101 its reverse (101116110000101), we get a palindrome (202116121611202).

The spelling of 101000011611101 in words is "one hundred one trillion, eleven million, six hundred eleven thousand, one hundred one".