100331414141141 has 8 divisors (see below), whose sum is σ = 100795731519000. Its totient is φ = 99868107248640.

The previous prime is 100331414141113. The next prime is 100331414141177. The reversal of 100331414141141 is 141141414133001.

It can be written as a sum of positive squares in 4 ways, for example, as 27405706622116 + 72925707519025 = 5235046^2 + 8539655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100331414141141 - 2¹⁴ = 100331414124757 is a prime.

It is a super-2 number, since 2×100331414141141² (a number of 29 digits) contains 22 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 (100331414101141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252422300 + ... + 252819461.

It is an arithmetic number, because the mean of its divisors is an integer number (12599466439875).

Almost surely, 2^{100331414141141} is an apocalyptic number.

It is an amenable number.

100331414141141 is a deficient number, since it is larger than the sum of its proper divisors (464317377859).

100331414141141 is an equidigital number, since it uses as much as digits as its factorization.

100331414141141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505242679.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 100331414141141 its reverse (141141414133001), we get a palindrome (241472828274142).

The spelling of 100331414141141 in words is "one hundred trillion, three hundred thirty-one billion, four hundred fourteen million, one hundred forty-one thousand, one hundred forty-one".