101286765600 has 288 divisors, whose sum is σ = 349195150080. Its totient is φ = 25429386240.

The previous prime is 101286765577. The next prime is 101286765607. The reversal of 101286765600 is 6567682101.

It is not an unprimeable number, because it can be changed into a prime (101286765607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7425987 + ... + 7439613.

It is an arithmetic number, because the mean of its divisors is an integer number (1212483160).

Almost surely, 2^101286765600 is an apocalyptic number.

101286765600 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 101286765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174597575040).

101286765600 is an abundant number, since it is smaller than the sum of its proper divisors (247908384480).

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

101286765600 is a wasteful number, since it uses less digits than its factorization.

101286765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13832 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 101286765600 in words is "one hundred one billion, two hundred eighty-six million, seven hundred sixty-five thousand, six hundred".