101321217449088 has 256 divisors, whose sum is σ = 331698154045440. Its totient is φ = 26685315993600.

The previous prime is 101321217449087. The next prime is 101321217449117. The reversal of 101321217449088 is 880944712123101.

It is a self number, because there is not a number n which added to its sum of digits gives 101321217449088.

It is not an unprimeable number, because it can be changed into a prime (101321217449087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23410113 + ... + 27398463.

It is an arithmetic number, because the mean of its divisors is an integer number (1295695914240).

Almost surely, 2^{101321217449088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321217449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165849077022720).

101321217449088 is an abundant number, since it is smaller than the sum of its proper divisors (230376936596352).

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

101321217449088 is a wasteful number, since it uses less digits than its factorization.

101321217449088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989115 (or 3989103 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 101321217449088 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred seventeen million, four hundred forty-nine thousand, eighty-eight".