101391717707820 has 144 divisors (see below), whose sum is σ = 317613418536960. Its totient is φ = 26154279043200.

The previous prime is 101391717707803. The next prime is 101391717707923. The reversal of 101391717707820 is 28707717193101.

101391717707820 is a `hidden beast` number, since 1 + 0 + 1 + 391 + 7 + 177 + 0 + 7 + 82 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8964061 + ... + 16826699.

It is an arithmetic number, because the mean of its divisors is an integer number (2205648739840).

Almost surely, 2^{101391717707820} is an apocalyptic number.

101391717707820 is a gapful number since it is divisible by the number (10) 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 101391717707820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158806709268480).

101391717707820 is an abundant number, since it is smaller than the sum of its proper divisors (216221700829140).

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

101391717707820 is a wasteful number, since it uses less digits than its factorization.

101391717707820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864996 (or 7864991 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 54.

The spelling of 101391717707820 in words is "one hundred one trillion, three hundred ninety-one billion, seven hundred seventeen million, seven hundred seven thousand, eight hundred twenty".