101252505768500 has 288 divisors, whose sum is σ = 239649199485696. Its totient is φ = 37299300192000.

The previous prime is 101252505768467. The next prime is 101252505768529. The reversal of 101252505768500 is 5867505252101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2177122247 + ... + 2177168753.

It is an arithmetic number, because the mean of its divisors is an integer number (832115275992).

Almost surely, 2^{101252505768500} is an apocalyptic number.

101252505768500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101252505768500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119824599742848).

101252505768500 is an abundant number, since it is smaller than the sum of its proper divisors (138396693717196).

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

101252505768500 is a wasteful number, since it uses less digits than its factorization.

101252505768500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46808 (or 46765 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 47.

The spelling of 101252505768500 in words is "one hundred one trillion, two hundred fifty-two billion, five hundred five million, seven hundred sixty-eight thousand, five hundred".