101781397643520 has 2304 divisors, whose sum is σ = 398625131520000. Its totient is φ = 22103483351040.

The previous prime is 101781397643507. The next prime is 101781397643539. The reversal of 101781397643520 is 25346793187101.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 683096628406 + ... + 683096628554.

It is an arithmetic number, because the mean of its divisors is an integer number (173014380000).

It is a 1-persistent number, because it is pandigital, but 2⋅101781397643520 = 203562795287040 is not.

Almost surely, 2^{101781397643520} is an apocalyptic number.

101781397643520 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 101781397643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199312565760000).

101781397643520 is an abundant number, since it is smaller than the sum of its proper divisors (296843733876480).

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

101781397643520 is a wasteful number, since it uses less digits than its factorization.

101781397643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 101781397643520 in words is "one hundred one trillion, seven hundred eighty-one billion, three hundred ninety-seven million, six hundred forty-three thousand, five hundred twenty".