101359391364 has 384 divisors, whose sum is σ = 337855795200. Its totient is φ = 25514818560.

The previous prime is 101359391359. The next prime is 101359391377. The reversal of 101359391364 is 463193953101.

101359391364 is a `hidden beast` number, since 10 + 13 + 593 + 9 + 1 + 36 + 4 = 666.

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 127 ways as a sum of consecutive naturals, for example, 48988522 + ... + 48990590.

It is an arithmetic number, because the mean of its divisors is an integer number (879832800).

Almost surely, 2^101359391364 is an apocalyptic number.

101359391364 is a gapful number since it is divisible by the number (14) 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 101359391364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168927897600).

101359391364 is an abundant number, since it is smaller than the sum of its proper divisors (236496403836).

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

101359391364 is a wasteful number, since it uses less digits than its factorization.

101359391364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 101359391364 in words is "one hundred one billion, three hundred fifty-nine million, three hundred ninety-one thousand, three hundred sixty-four".