100340221433140 has 192 divisors, whose sum is σ = 237590553231360. Its totient is φ = 35318077217280.

The previous prime is 100340221433093. The next prime is 100340221433219. The reversal of 100340221433140 is 41334122043001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100340221433099 and 100340221433108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6743740221 + ... + 6743755099.

It is an arithmetic number, because the mean of its divisors is an integer number (1237450798080).

Almost surely, 2^{100340221433140} is an apocalyptic number.

100340221433140 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 100340221433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118795276615680).

100340221433140 is an abundant number, since it is smaller than the sum of its proper divisors (137250331798220).

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

100340221433140 is a wasteful number, since it uses less digits than its factorization.

100340221433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18662 (or 18660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100340221433140 its reverse (41334122043001), we get a palindrome (141674343476141).

The spelling of 100340221433140 in words is "one hundred trillion, three hundred forty billion, two hundred twenty-one million, four hundred thirty-three thousand, one hundred forty".