101040541013104 has 320 divisors, whose sum is σ = 263251670814720. Its totient is φ = 36375568128000.

The previous prime is 101040541013057. The next prime is 101040541013171. The reversal of 101040541013104 is 401310145040101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4532784199 + ... + 4532806489.

It is an arithmetic number, because the mean of its divisors is an integer number (822661471296).

Almost surely, 2^{101040541013104} is an apocalyptic number.

101040541013104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101040541013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131625835407360).

101040541013104 is an abundant number, since it is smaller than the sum of its proper divisors (162211129801616).

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

101040541013104 is a wasteful number, since it uses less digits than its factorization.

101040541013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27100 (or 27094 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 101040541013104 its reverse (401310145040101), we get a palindrome (502350686053205).

The spelling of 101040541013104 in words is "one hundred one trillion, forty billion, five hundred forty-one million, thirteen thousand, one hundred four".