101375194874304 has 1792 divisors, whose sum is σ = 338033519308800. Its totient is φ = 26473792536576.

The previous prime is 101375194874299. The next prime is 101375194874311. The reversal of 101375194874304 is 403478491573101.

It is a super-2 number, since 2×101375194874304² (a number of 29 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 287181854992 + ... + 287181855344.

It is an arithmetic number, because the mean of its divisors is an integer number (188634776400).

Almost surely, 2^{101375194874304} 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 101375194874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169016759654400).

101375194874304 is an abundant number, since it is smaller than the sum of its proper divisors (236658324434496).

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

101375194874304 is a wasteful number, since it uses less digits than its factorization.

101375194874304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 101375194874304 in words is "one hundred one trillion, three hundred seventy-five billion, one hundred ninety-four million, eight hundred seventy-four thousand, three hundred four".