101671315812 has 144 divisors (see below), whose sum is σ = 297049019904. Its totient is φ = 28978560000.

The previous prime is 101671315783. The next prime is 101671315817. The reversal of 101671315812 is 218513176101.

It is a happy number.

101671315812 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 71 + 3 + 1 + 581 + 2 = 666.

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 (101671315817) 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, 13130262 + ... + 13138002.

It is an arithmetic number, because the mean of its divisors is an integer number (2062840416).

Almost surely, 2^101671315812 is an apocalyptic number.

101671315812 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 101671315812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148524509952).

101671315812 is an abundant number, since it is smaller than the sum of its proper divisors (195377704092).

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

101671315812 is a wasteful number, since it uses less digits than its factorization.

101671315812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9730 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 101671315812 in words is "one hundred one billion, six hundred seventy-one million, three hundred fifteen thousand, eight hundred twelve".