101538803417681 has 32 divisors (see below), whose sum is σ = 122263087288320. Its totient is φ = 82377557064000.

The previous prime is 101538803417633. The next prime is 101538803417707. The reversal of 101538803417681 is 186714308835101.

It is a cyclic number.

It is not a de Polignac number, because 101538803417681 - 2¹⁰ = 101538803416657 is a prime.

It is a super-2 number, since 2×101538803417681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101538803417621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520213396 + ... + 1520280186.

It is an arithmetic number, because the mean of its divisors is an integer number (3820721477760).

Almost surely, 2^{101538803417681} is an apocalyptic number.

It is an amenable number.

101538803417681 is a deficient number, since it is larger than the sum of its proper divisors (20724283870639).

101538803417681 is a wasteful number, since it uses less digits than its factorization.

101538803417681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77045.

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 101538803417681 in words is "one hundred one trillion, five hundred thirty-eight billion, eight hundred three million, four hundred seventeen thousand, six hundred eighty-one".