101718516920712 has 128 divisors (see below), whose sum is σ = 266997081600000. Its totient is φ = 32231549306880.

The previous prime is 101718516920693. The next prime is 101718516920729. The reversal of 101718516920712 is 217029615817101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65059512 + ... + 66604632.

It is an arithmetic number, because the mean of its divisors is an integer number (2085914700000).

Almost surely, 2^{101718516920712} is an apocalyptic number.

101718516920712 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 101718516920712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133498540800000).

101718516920712 is an abundant number, since it is smaller than the sum of its proper divisors (165278564679288).

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

101718516920712 is a wasteful number, since it uses less digits than its factorization.

101718516920712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545891 (or 1545887 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 51.

The spelling of 101718516920712 in words is "one hundred one trillion, seven hundred eighteen billion, five hundred sixteen million, nine hundred twenty thousand, seven hundred twelve".