100053441142141 has 16 divisors (see below), whose sum is σ = 106552910086128. Its totient is φ = 93622207795200.

The previous prime is 100053441142097. The next prime is 100053441142157. The reversal of 100053441142141 is 141241144350001.

It can be written as a sum of positive squares in 8 ways, for example, as 1372482540900 + 98680958601241 = 1171530^2 + 9933829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100053441142141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100053441142181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229536121 + ... + 229971601.

It is an arithmetic number, because the mean of its divisors is an integer number (6659556880383).

Almost surely, 2^{100053441142141} is an apocalyptic number.

It is an amenable number.

100053441142141 is a deficient number, since it is larger than the sum of its proper divisors (6499468943987).

100053441142141 is a wasteful number, since it uses less digits than its factorization.

100053441142141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513792.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 100053441142141 its reverse (141241144350001), we get a palindrome (241294585492142).

The spelling of 100053441142141 in words is "one hundred trillion, fifty-three billion, four hundred forty-one million, one hundred forty-two thousand, one hundred forty-one".