101878226233056 has 648 divisors, whose sum is σ = 369332892484920. Its totient is φ = 26545208481792.

The previous prime is 101878226233039. The next prime is 101878226233073. The reversal of 101878226233056 is 650332622878101.

101878226233056 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 7 + 8 + 2 + 2 + 623 + 3 + 0 + 5 + 6 = 666.

101878226233056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101878226233039) and next prime (101878226233073).

It is a junction number, because it is equal to n+sod(n) for n = 101878226232993 and 101878226233011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 197691690 + ... + 198206358.

It is an arithmetic number, because the mean of its divisors is an integer number (569958167415).

Almost surely, 2^{101878226233056} is an apocalyptic number.

101878226233056 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 101878226233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184666446242460).

101878226233056 is an abundant number, since it is smaller than the sum of its proper divisors (267454666251864).

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

101878226233056 is a wasteful number, since it uses less digits than its factorization.

101878226233056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514808 (or 514777 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 101878226233056 in words is "one hundred one trillion, eight hundred seventy-eight billion, two hundred twenty-six million, two hundred thirty-three thousand, fifty-six".