101236321536 has 288 divisors, whose sum is σ = 315904942080. Its totient is φ = 28181004288.

The previous prime is 101236321513. The next prime is 101236321547. The reversal of 101236321536 is 635123632101.

It is a junction number, because it is equal to n+sod(n) for n = 101236321497 and 101236321506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64935925 + ... + 64937483.

It is an arithmetic number, because the mean of its divisors is an integer number (1096892160).

Almost surely, 2^101236321536 is an apocalyptic number.

101236321536 is a gapful number since it is divisible by the number (16) 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 101236321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157952471040).

101236321536 is an abundant number, since it is smaller than the sum of its proper divisors (214668620544).

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

101236321536 is a wasteful number, since it uses less digits than its factorization.

101236321536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 101236321536 its reverse (635123632101), we get a palindrome (736359953637).

The spelling of 101236321536 in words is "one hundred one billion, two hundred thirty-six million, three hundred twenty-one thousand, five hundred thirty-six".