138111477101 has 16 divisors (see below), whose sum is σ = 148973152944. Its totient is φ = 127283940864.

The previous prime is 138111477089. The next prime is 138111477167. The reversal of 138111477101 is 101774111831.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19810562500 + 118300914601 = 140750^2 + 343949^2 .

It is a cyclic number.

It is not a de Polignac number, because 138111477101 - 2¹⁰ = 138111476077 is a prime.

It is a super-3 number, since 3×138111477101³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138111474101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37559075 + ... + 37562751.

It is an arithmetic number, because the mean of its divisors is an integer number (9310822059).

Almost surely, 2^138111477101 is an apocalyptic number.

It is an amenable number.

138111477101 is a deficient number, since it is larger than the sum of its proper divisors (10861675843).

138111477101 is a wasteful number, since it uses less digits than its factorization.

138111477101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520.

The product of its (nonzero) digits is 4704, while the sum is 35.

Adding to 138111477101 its reverse (101774111831), we get a palindrome (239885588932).

The spelling of 138111477101 in words is "one hundred thirty-eight billion, one hundred eleven million, four hundred seventy-seven thousand, one hundred one".