101268326770688 has 192 divisors, whose sum is σ = 252652594521600. Its totient is φ = 39423776440320.

The previous prime is 101268326770591. The next prime is 101268326770729. The reversal of 101268326770688 is 886077623862101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198284231 + ... + 198794297.

It is an arithmetic number, because the mean of its divisors is an integer number (1315898929800).

Almost surely, 2^{101268326770688} 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 101268326770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126326297260800).

101268326770688 is an abundant number, since it is smaller than the sum of its proper divisors (151384267750912).

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

101268326770688 is a wasteful number, since it uses less digits than its factorization.

101268326770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511366 (or 511346 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 65.

The spelling of 101268326770688 in words is "one hundred one trillion, two hundred sixty-eight billion, three hundred twenty-six million, seven hundred seventy thousand, six hundred eighty-eight".