101141121141101 has 8 divisors (see below), whose sum is σ = 103870116097920. Its totient is φ = 98436170193088.

The previous prime is 101141121141019. The next prime is 101141121141103.

101141121141101 is nontrivially palindromic in base 10.

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 101141121141101 - 2¹⁰ = 101141121140077 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 (101141121141103) 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, 6010993676 + ... + 6011010501.

It is an arithmetic number, because the mean of its divisors is an integer number (12983764512240).

Almost surely, 2^{101141121141101} is an apocalyptic number.

It is an amenable number.

101141121141101 is a deficient number, since it is larger than the sum of its proper divisors (2728994956819).

101141121141101 is a wasteful number, since it uses less digits than its factorization.

101141121141101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022004403.

The product of its (nonzero) digits is 32, while the sum is 20.

The spelling of 101141121141101 in words is "one hundred one trillion, one hundred forty-one billion, one hundred twenty-one million, one hundred forty-one thousand, one hundred one".