101517007442016 has 96 divisors (see below), whose sum is σ = 269182017756288. Its totient is φ = 33496922511360.

The previous prime is 101517007441981. The next prime is 101517007442021. The reversal of 101517007442016 is 610244700715101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591931 + ... + 14482821.

It is an arithmetic number, because the mean of its divisors is an integer number (2803979351628).

Almost surely, 2^{101517007442016} is an apocalyptic number.

101517007442016 is a gapful number since it is divisible by the number (16) 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 101517007442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134591008878144).

101517007442016 is an abundant number, since it is smaller than the sum of its proper divisors (167665010314272).

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

101517007442016 is a wasteful number, since it uses less digits than its factorization.

101517007442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891804 (or 11891796 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 101517007442016 in words is "one hundred one trillion, five hundred seventeen billion, seven million, four hundred forty-two thousand, sixteen".