101131716672 has 336 divisors, whose sum is σ = 346638993792. Its totient is φ = 28635586560.

The previous prime is 101131716629. The next prime is 101131716677. The reversal of 101131716672 is 276617131101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101131716677) 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 47 ways as a sum of consecutive naturals, for example, 12297522 + ... + 12305742.

It is an arithmetic number, because the mean of its divisors is an integer number (1031663672).

Almost surely, 2^101131716672 is an apocalyptic number.

101131716672 is a gapful number since it is divisible by the number (12) 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 101131716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173319496896).

101131716672 is an abundant number, since it is smaller than the sum of its proper divisors (245507277120).

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

101131716672 is an equidigital number, since it uses as much as digits as its factorization.

101131716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 101131716672 its reverse (276617131101), we get a palindrome (377748847773).

The spelling of 101131716672 in words is "one hundred one billion, one hundred thirty-one million, seven hundred sixteen thousand, six hundred seventy-two".