101011005101 has 2 divisors, whose sum is σ = 101011005102. Its totient is φ = 101011005100.

The previous prime is 101011005083. The next prime is 101011005133. The reversal of 101011005101 is 101500110101.

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., 61469284900 + 39541720201 = 247930^2 + 198851^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011005101 - 2¹⁴ = 101010988717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011005191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505502550 + 50505502551.

It is an arithmetic number, because the mean of its divisors is an integer number (50505502551).

Almost surely, 2^101011005101 is an apocalyptic number.

It is an amenable number.

101011005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011005101 is an equidigital number, since it uses as much as digits as its factorization.

101011005101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 101011005101 its reverse (101500110101), we get a palindrome (202511115202).

The spelling of 101011005101 in words is "one hundred one billion, eleven million, five thousand, one hundred one".