101531434104204 has 96 divisors (see below), whose sum is σ = 257989663479744. Its totient is φ = 30891111859200.

The previous prime is 101531434104203. The next prime is 101531434104209. The reversal of 101531434104204 is 402401434135101.

It is a super-3 number, since 3×101531434104204³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101531434104203) 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, 8011222 + ... + 16347554.

It is an arithmetic number, because the mean of its divisors is an integer number (2687392327914).

Almost surely, 2^{101531434104204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101531434104204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128994831739872).

101531434104204 is an abundant number, since it is smaller than the sum of its proper divisors (156458229375540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101531434104204 is a wasteful number, since it uses less digits than its factorization.

101531434104204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337227 (or 8337225 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 101531434104204 its reverse (402401434135101), we get a palindrome (503932868239305).

The spelling of 101531434104204 in words is "one hundred one trillion, five hundred thirty-one billion, four hundred thirty-four million, one hundred four thousand, two hundred four".