101047041744 has 160 divisors (see below), whose sum is σ = 301844859264. Its totient is φ = 28788080640.

The previous prime is 101047041703. The next prime is 101047041749. The reversal of 101047041744 is 447140740101.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101047041749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9087132 + ... + 9098244.

Almost surely, 2^101047041744 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 101047041744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150922429632).

101047041744 is an abundant number, since it is smaller than the sum of its proper divisors (200797817520).

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

101047041744 is a wasteful number, since it uses less digits than its factorization.

101047041744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12165 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 101047041744 its reverse (447140740101), we get a palindrome (548187781845).

The spelling of 101047041744 in words is "one hundred one billion, forty-seven million, forty-one thousand, seven hundred forty-four".