101286120336 has 80 divisors (see below), whose sum is σ = 266450565120. Its totient is φ = 33144912000.

The previous prime is 101286120319. The next prime is 101286120367. The reversal of 101286120336 is 633021682101.

It is a junction number, because it is equal to n+sod(n) for n = 101286120297 and 101286120306.

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, 2103021 + ... + 2150643.

It is an arithmetic number, because the mean of its divisors is an integer number (3330632064).

Almost surely, 2^101286120336 is an apocalyptic number.

101286120336 is a gapful number since it is divisible by the number (16) 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 101286120336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133225282560).

101286120336 is an abundant number, since it is smaller than the sum of its proper divisors (165164444784).

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

101286120336 is a wasteful number, since it uses less digits than its factorization.

101286120336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48444 (or 48438 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 101286120336 in words is "one hundred one billion, two hundred eighty-six million, one hundred twenty thousand, three hundred thirty-six".