101077314048 has 160 divisors (see below), whose sum is σ = 300457555200. Its totient is φ = 33550368768.

The previous prime is 101077313993. The next prime is 101077314059. The reversal of 101077314048 is 840413770101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288640 + ... + 3319232.

It is an arithmetic number, because the mean of its divisors is an integer number (1877859720).

Almost surely, 2^101077314048 is an apocalyptic number.

101077314048 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 101077314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150228777600).

101077314048 is an abundant number, since it is smaller than the sum of its proper divisors (199380241152).

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

101077314048 is an equidigital number, since it uses as much as digits as its factorization.

101077314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30859 (or 30837 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 101077314048 in words is "one hundred one billion, seventy-seven million, three hundred fourteen thousand, forty-eight".