101385874128 has 240 divisors, whose sum is σ = 332736560640. Its totient is φ = 26305171200.

The previous prime is 101385874111. The next prime is 101385874153. The reversal of 101385874128 is 821478583101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34123683 + ... + 34126653.

It is an arithmetic number, because the mean of its divisors is an integer number (1386402336).

Almost surely, 2^101385874128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101385874128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166368280320).

101385874128 is an abundant number, since it is smaller than the sum of its proper divisors (231350686512).

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

101385874128 is a wasteful number, since it uses less digits than its factorization.

101385874128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 101385874128 in words is "one hundred one billion, three hundred eighty-five million, eight hundred seventy-four thousand, one hundred twenty-eight".