101210587648560 has 720 divisors, whose sum is σ = 387852804227616. Its totient is φ = 24383169110016.

The previous prime is 101210587648531. The next prime is 101210587648571. The reversal of 101210587648560 is 65846785012101.

101210587648560 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 0 + 5 + 8 + 76 + 4 + 8 + 560 = 666.

101210587648560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101210587648497 and 101210587648506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 558167832 + ... + 558349128.

Almost surely, 2^{101210587648560} is an apocalyptic number.

101210587648560 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 101210587648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193926402113808).

101210587648560 is an abundant number, since it is smaller than the sum of its proper divisors (286642216579056).

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

101210587648560 is a wasteful number, since it uses less digits than its factorization.

101210587648560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181432 (or 181367 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 101210587648560 in words is "one hundred one trillion, two hundred ten billion, five hundred eighty-seven million, six hundred forty-eight thousand, five hundred sixty".