101853710112 has 768 divisors, whose sum is σ = 363246944256. Its totient is φ = 24219648000.

The previous prime is 101853710107. The next prime is 101853710173. The reversal of 101853710112 is 211017358101.

It is a self number, because there is not a number n which added to its sum of digits gives 101853710112.

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, 347623438 + ... + 347623730.

It is an arithmetic number, because the mean of its divisors is an integer number (472977792).

Almost surely, 2^101853710112 is an apocalyptic number.

101853710112 is a gapful number since it is divisible by the number (12) 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 101853710112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181623472128).

101853710112 is an abundant number, since it is smaller than the sum of its proper divisors (261393234144).

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

101853710112 is a wasteful number, since it uses less digits than its factorization.

101853710112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

The spelling of 101853710112 in words is "one hundred one billion, eight hundred fifty-three million, seven hundred ten thousand, one hundred twelve".