20101287578112 has 720 divisors, whose sum is σ = 65449464537600. Its totient is φ = 5929805905920.

The previous prime is 20101287578023. The next prime is 20101287578123. The reversal of 20101287578112 is 21187578210102.

20101287578112 is a `hidden beast` number, since 201 + 0 + 1 + 287 + 57 + 8 + 112 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2631399189 + ... + 2631406827.

It is an arithmetic number, because the mean of its divisors is an integer number (90902034080).

Almost surely, 2^{20101287578112} 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 20101287578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32724732268800).

20101287578112 is an abundant number, since it is smaller than the sum of its proper divisors (45348176959488).

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

20101287578112 is a wasteful number, since it uses less digits than its factorization.

20101287578112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 20101287578112 in words is "twenty trillion, one hundred one billion, two hundred eighty-seven million, five hundred seventy-eight thousand, one hundred twelve".