4141123000101 has 6 divisors (see below), whose sum is σ = 5981622111270. Its totient is φ = 2760748666728.

The previous prime is 4141123000097. The next prime is 4141123000103. The reversal of 4141123000101 is 1010003211414.

4141123000101 is a `hidden beast` number, since 414 + 11 + 230 + 0 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2687714330625 + 1453408669476 = 1639425^2 + 1205574^2 .

It is not a de Polignac number, because 4141123000101 - 2² = 4141123000097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141123000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230062388886 + ... + 230062388903.

It is an arithmetic number, because the mean of its divisors is an integer number (996937018545).

Almost surely, 2^{4141123000101} is an apocalyptic number.

It is an amenable number.

4141123000101 is a deficient number, since it is larger than the sum of its proper divisors (1840499111169).

4141123000101 is a wasteful number, since it uses less digits than its factorization.

4141123000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460124777795 (or 460124777792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 4141123000101 its reverse (1010003211414), we get a palindrome (5151126211515).

The spelling of 4141123000101 in words is "four trillion, one hundred forty-one billion, one hundred twenty-three million, one hundred one", and thus it is an aban number.