101216728536 has 512 divisors, whose sum is σ = 344881152000. Its totient is φ = 23950540800.

The previous prime is 101216728511. The next prime is 101216728549. The reversal of 101216728536 is 635827612101.

It is a happy number.

It is a super-2 number, since 2×101216728536² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230561805 + ... + 230562243.

It is an arithmetic number, because the mean of its divisors is an integer number (673596000).

Almost surely, 2^101216728536 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 101216728536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172440576000).

101216728536 is an abundant number, since it is smaller than the sum of its proper divisors (243664423464).

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

101216728536 is a wasteful number, since it uses less digits than its factorization.

101216728536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

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

The spelling of 101216728536 in words is "one hundred one billion, two hundred sixteen million, seven hundred twenty-eight thousand, five hundred thirty-six".