101440413131121 has 12 divisors (see below), whose sum is σ = 146731705572660. Its totient is φ = 67531558525920.

The previous prime is 101440413131119. The next prime is 101440413131131. The reversal of 101440413131121 is 121131314044101.

101440413131121 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 404 + 1 + 3 + 131 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3890992953600 + 97549420177521 = 1972560^2 + 9876711^2 .

It is not a de Polignac number, because 101440413131121 - 2¹ = 101440413131119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101440413131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7948623390 + ... + 7948636151.

It is an arithmetic number, because the mean of its divisors is an integer number (12227642131055).

Almost surely, 2^{101440413131121} is an apocalyptic number.

It is an amenable number.

101440413131121 is a deficient number, since it is larger than the sum of its proper divisors (45291292441539).

101440413131121 is a wasteful number, since it uses less digits than its factorization.

101440413131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897260256 (or 15897260253 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 101440413131121 its reverse (121131314044101), we get a palindrome (222571727175222).

The spelling of 101440413131121 in words is "one hundred one trillion, four hundred forty billion, four hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-one".