101383667712 has 168 divisors, whose sum is σ = 300479795280. Its totient is φ = 33785118720.

The previous prime is 101383667701. The next prime is 101383667717. The reversal of 101383667712 is 217766383101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101383667717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28309762 + ... + 28313342.

It is an arithmetic number, because the mean of its divisors is an integer number (1788570210).

Almost surely, 2^101383667712 is an apocalyptic number.

101383667712 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 101383667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150239897640).

101383667712 is an abundant number, since it is smaller than the sum of its proper divisors (199096127568).

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

101383667712 is an frugal number, since it uses more digits than its factorization.

101383667712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 101383667712 in words is "one hundred one billion, three hundred eighty-three million, six hundred sixty-seven thousand, seven hundred twelve".