101079543370272 has 192 divisors, whose sum is σ = 269306042277888. Its totient is φ = 33192806400000.

The previous prime is 101079543370261. The next prime is 101079543370297. The reversal of 101079543370272 is 272073345970101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040243953 + ... + 3040277199.

It is an arithmetic number, because the mean of its divisors is an integer number (1402635636864).

Almost surely, 2^{101079543370272} is an apocalyptic number.

101079543370272 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 101079543370272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134653021138944).

101079543370272 is an abundant number, since it is smaller than the sum of its proper divisors (168226498907616).

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

101079543370272 is a wasteful number, since it uses less digits than its factorization.

101079543370272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35143 (or 35135 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 101079543370272 in words is "one hundred one trillion, seventy-nine billion, five hundred forty-three million, three hundred seventy thousand, two hundred seventy-two".