101283080306688 has 1728 divisors, whose sum is σ = 361527493017600. Its totient is φ = 28316874571776.

The previous prime is 101283080306669. The next prime is 101283080306699. The reversal of 101283080306688 is 886603080382101.

101283080306688 is a `hidden beast` number, since 1 + 0 + 1 + 28 + 308 + 0 + 306 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×101283080306688² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797504569281 + ... + 797504569407.

It is an arithmetic number, because the mean of its divisors is an integer number (209217299200).

Almost surely, 2^{101283080306688} is an apocalyptic number.

101283080306688 is a gapful number since it is divisible by the number (18) 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 101283080306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180763746508800).

101283080306688 is an abundant number, since it is smaller than the sum of its proper divisors (260244412710912).

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

101283080306688 is an frugal number, since it uses more digits than its factorization.

101283080306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 101283080306688 in words is "one hundred one trillion, two hundred eighty-three billion, eighty million, three hundred six thousand, six hundred eighty-eight".