101016252389742 has 24 divisors (see below), whose sum is σ = 213225441336936. Its totient is φ = 31899869175024.

The previous prime is 101016252389737. The next prime is 101016252389753. The reversal of 101016252389742 is 247983252610101.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 23318615653 + ... + 23318619984.

It is an arithmetic number, because the mean of its divisors is an integer number (8884393389039).

It is a 1-persistent number, because it is pandigital, but 2⋅101016252389742 = 202032504779484 is not.

Almost surely, 2^{101016252389742} is an apocalyptic number.

101016252389742 is an abundant number, since it is smaller than the sum of its proper divisors (112209188947194).

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

101016252389742 is a wasteful number, since it uses less digits than its factorization.

101016252389742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46637235680 (or 46637235661 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 101016252389742 in words is "one hundred one trillion, sixteen billion, two hundred fifty-two million, three hundred eighty-nine thousand, seven hundred forty-two".