101138039541081 has 81 divisors (see below), whose sum is σ = 160379940256029. Its totient is φ = 61402437849600.

The previous prime is 101138039540971. The next prime is 101138039541083. The reversal of 101138039541081 is 180145930831101.

The square root of 101138039541081 is 10056741.

It is a perfect power (a square), and thus also a powerful number.

101138039541081 is a `hidden beast` number, since 10 + 1 + 13 + 8 + 0 + 3 + 9 + 541 + 0 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91636371225 + 101046403169856 = 302715^2 + 10052184^2 .

It is not a de Polignac number, because 101138039541081 - 2¹⁵ = 101138039508313 is a prime.

It is a super-2 number, since 2×101138039541081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101138039541083) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15899704341 + ... + 15899710701.

Almost surely, 2^{101138039541081} is an apocalyptic number.

101138039541081 is the 10056741-st square number.

101138039541081 is the 5028371-st centered octagonal number.

It is an amenable number.

101138039541081 is a deficient number, since it is larger than the sum of its proper divisors (59241900714948).

101138039541081 is an frugal number, since it uses more digits than its factorization.

101138039541081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 101138039541081 in words is "one hundred one trillion, one hundred thirty-eight billion, thirty-nine million, five hundred forty-one thousand, eighty-one".