101030342223440 has 160 divisors (see below), whose sum is σ = 269106438585600. Its totient is φ = 34554624233472.

The previous prime is 101030342223439. The next prime is 101030342223443. The reversal of 101030342223440 is 44322243030101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030342223443) 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, 451220636 + ... + 451444484.

It is an arithmetic number, because the mean of its divisors is an integer number (1681915241160).

Almost surely, 2^{101030342223440} is an apocalyptic number.

101030342223440 is a gapful number since it is divisible by the number (10) 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 101030342223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134553219292800).

101030342223440 is an abundant number, since it is smaller than the sum of its proper divisors (168076096362160).

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

101030342223440 is a wasteful number, since it uses less digits than its factorization.

101030342223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225829 (or 225823 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 101030342223440 its reverse (44322243030101), we get a palindrome (145352585253541).

The spelling of 101030342223440 in words is "one hundred one trillion, thirty billion, three hundred forty-two million, two hundred twenty-three thousand, four hundred forty".