101250016336 has 100 divisors (see below), whose sum is σ = 235042139252. Its totient is φ = 42219491328.

The previous prime is 101250016331. The next prime is 101250016363. The reversal of 101250016336 is 633610052101.

It can be written as a sum of positive squares in 2 ways, for example, as 83013134400 + 18236881936 = 288120^2 + 135044^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101250016331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1385776 + ... + 1457008.

Almost surely, 2^101250016336 is an apocalyptic number.

101250016336 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 101250016336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117521069626).

101250016336 is an abundant number, since it is smaller than the sum of its proper divisors (133792122916).

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

101250016336 is an frugal number, since it uses more digits than its factorization.

101250016336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71306 (or 71279 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 101250016336 its reverse (633610052101), we get a palindrome (734860068437).

The spelling of 101250016336 in words is "one hundred one billion, two hundred fifty million, sixteen thousand, three hundred thirty-six".