101538803417680 has 20 divisors (see below), whose sum is σ = 236077717946292. Its totient is φ = 40615521367040.

The previous prime is 101538803417633. The next prime is 101538803417707. The reversal of 101538803417680 is 86714308835101.

It can be written as a sum of positive squares in 2 ways, for example, as 17824135634496 + 83714667783184 = 4221864^2 + 9149572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×101538803417680⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634617521281 + ... + 634617521440.

Almost surely, 2^{101538803417680} is an apocalyptic number.

101538803417680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101538803417680 is an abundant number, since it is smaller than the sum of its proper divisors (134538914528612).

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

101538803417680 is a wasteful number, since it uses less digits than its factorization.

101538803417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269235042734 (or 1269235042728 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 101538803417680 in words is "one hundred one trillion, five hundred thirty-eight billion, eight hundred three million, four hundred seventeen thousand, six hundred eighty".