101092715079072 has 192 divisors, whose sum is σ = 279582265872000. Its totient is φ = 31895786188800.

The previous prime is 101092715079071. The next prime is 101092715079089. The reversal of 101092715079072 is 270970517290101.

It is not an unprimeable number, because it can be changed into a prime (101092715079071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16569856822 + ... + 16569862922.

It is an arithmetic number, because the mean of its divisors is an integer number (1456157634750).

Almost surely, 2^{101092715079072} is an apocalyptic number.

101092715079072 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 101092715079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139791132936000).

101092715079072 is an abundant number, since it is smaller than the sum of its proper divisors (178489550792928).

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

101092715079072 is a wasteful number, since it uses less digits than its factorization.

101092715079072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 51.

The spelling of 101092715079072 in words is "one hundred one trillion, ninety-two billion, seven hundred fifteen million, seventy-nine thousand, seventy-two".