101861548364640 has 768 divisors, whose sum is σ = 336124619550720. Its totient is φ = 25913377751040.

The previous prime is 101861548364617. The next prime is 101861548364647. The reversal of 101861548364640 is 46463845168101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101861548364647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38923020612 + ... + 38923023228.

It is an arithmetic number, because the mean of its divisors is an integer number (437662265040).

Almost surely, 2^{101861548364640} is an apocalyptic number.

101861548364640 is a gapful number since it is divisible by the number (10) 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 101861548364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168062309775360).

101861548364640 is an abundant number, since it is smaller than the sum of its proper divisors (234263071186080).

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

101861548364640 is a wasteful number, since it uses less digits than its factorization.

101861548364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 101861548364640 in words is "one hundred one trillion, eight hundred sixty-one billion, five hundred forty-eight million, three hundred sixty-four thousand, six hundred forty".