101315441100141 has 24 divisors (see below), whose sum is σ = 152744587569600. Its totient is φ = 64591185770496.

The previous prime is 101315441100127. The next prime is 101315441100199. The reversal of 101315441100141 is 141001144513101.

101315441100141 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 544 + 1 + 100 + 14 + 1 = 666.

It is not a de Polignac number, because 101315441100141 - 2⁹ = 101315441099629 is a prime.

It is a super-2 number, since 2×101315441100141² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101315441100121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58854676 + ... + 60551661.

It is an arithmetic number, because the mean of its divisors is an integer number (6364357815400).

Almost surely, 2^{101315441100141} is an apocalyptic number.

It is an amenable number.

101315441100141 is a deficient number, since it is larger than the sum of its proper divisors (51429146469459).

101315441100141 is a wasteful number, since it uses less digits than its factorization.

101315441100141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119410465 (or 119410462 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 101315441100141 its reverse (141001144513101), we get a palindrome (242316585613242).

The spelling of 101315441100141 in words is "one hundred one trillion, three hundred fifteen billion, four hundred forty-one million, one hundred thousand, one hundred forty-one".