101391856089600 has 960 divisors, whose sum is σ = 376040779171200. Its totient is φ = 23931660533760.

The previous prime is 101391856089551. The next prime is 101391856089739. The reversal of 101391856089600 is 6980658193101.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1699208566 + ... + 1699268234.

It is an arithmetic number, because the mean of its divisors is an integer number (391709144970).

Almost surely, 2^{101391856089600} is an apocalyptic number.

101391856089600 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 101391856089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188020389585600).

101391856089600 is an abundant number, since it is smaller than the sum of its proper divisors (274648923081600).

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

101391856089600 is a wasteful number, since it uses less digits than its factorization.

101391856089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59873 (or 59852 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 101391856089600 in words is "one hundred one trillion, three hundred ninety-one billion, eight hundred fifty-six million, eighty-nine thousand, six hundred".