101133410101 has 24 divisors (see below), whose sum is σ = 111695028480. Its totient is φ = 91412672736.

The previous prime is 101133410069. The next prime is 101133410123. The reversal of 101133410101 is 101014331101.

It is not a de Polignac number, because 101133410101 - 2⁵ = 101133410069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133410141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650896 + ... + 791158.

It is an arithmetic number, because the mean of its divisors is an integer number (4653959520).

Almost surely, 2^101133410101 is an apocalyptic number.

It is an amenable number.

101133410101 is a deficient number, since it is larger than the sum of its proper divisors (10561618379).

101133410101 is a wasteful number, since it uses less digits than its factorization.

101133410101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140385 (or 140362 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101133410101 its reverse (101014331101), we get a palindrome (202147741202).

The spelling of 101133410101 in words is "one hundred one billion, one hundred thirty-three million, four hundred ten thousand, one hundred one".