101025666016 has 96 divisors (see below), whose sum is σ = 221445705600. Its totient is φ = 44980308480.

The previous prime is 101025665977. The next prime is 101025666037. The reversal of 101025666016 is 610666520101.

It is a happy number.

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, 5868750 + ... + 5885938.

It is an arithmetic number, because the mean of its divisors is an integer number (2306726100).

Almost surely, 2^101025666016 is an apocalyptic number.

101025666016 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 101025666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110722852800).

101025666016 is an abundant number, since it is smaller than the sum of its proper divisors (120420039584).

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

101025666016 is a wasteful number, since it uses less digits than its factorization.

101025666016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17552 (or 17544 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 101025666016 in words is "one hundred one billion, twenty-five million, six hundred sixty-six thousand, sixteen".