101040135024 has 40 divisors (see below), whose sum is σ = 263953172880. Its totient is φ = 33301616128.

The previous prime is 101040135019. The next prime is 101040135041. The reversal of 101040135024 is 420531040101.

101040135024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11821587 + ... + 11830130.

It is an arithmetic number, because the mean of its divisors is an integer number (6598829322).

Almost surely, 2^101040135024 is an apocalyptic number.

It is an amenable number.

101040135024 is an abundant number, since it is smaller than the sum of its proper divisors (162913037856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101040135024 is a wasteful number, since it uses less digits than its factorization.

101040135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23651817 (or 23651811 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 101040135024 its reverse (420531040101), we get a palindrome (521571175125).

The spelling of 101040135024 in words is "one hundred one billion, forty million, one hundred thirty-five thousand, twenty-four".