100333243112141 has 32 divisors (see below), whose sum is σ = 109410471969120. Its totient is φ = 91454639947776.

The previous prime is 100333243112023. The next prime is 100333243112177. The reversal of 100333243112141 is 141211342333001.

It can be written as a sum of positive squares in 16 ways, for example, as 78367570682116 + 21965672430025 = 8852546^2 + 4686755^2 .

It is a cyclic number.

It is not a de Polignac number, because 100333243112141 - 2⁴² = 95935196601037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333233112141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613328875 + ... + 1613391063.

It is an arithmetic number, because the mean of its divisors is an integer number (3419077249035).

Almost surely, 2^{100333243112141} is an apocalyptic number.

It is an amenable number.

100333243112141 is a deficient number, since it is larger than the sum of its proper divisors (9077228856979).

100333243112141 is a wasteful number, since it uses less digits than its factorization.

100333243112141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65153.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 100333243112141 its reverse (141211342333001), we get a palindrome (241544585445142).

The spelling of 100333243112141 in words is "one hundred trillion, three hundred thirty-three billion, two hundred forty-three million, one hundred twelve thousand, one hundred forty-one".