101248082880 has 448 divisors, whose sum is σ = 384662476800. Its totient is φ = 22061039616.

The previous prime is 101248082879. The next prime is 101248082891. The reversal of 101248082880 is 88280842101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53940502 + ... + 53942378.

It is an arithmetic number, because the mean of its divisors is an integer number (858621600).

Almost surely, 2^101248082880 is an apocalyptic number.

101248082880 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 101248082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192331238400).

101248082880 is an abundant number, since it is smaller than the sum of its proper divisors (283414393920).

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

101248082880 is a wasteful number, since it uses less digits than its factorization.

101248082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The spelling of 101248082880 in words is "one hundred one billion, two hundred forty-eight million, eighty-two thousand, eight hundred eighty".