100042334220340 has 24 divisors (see below), whose sum is σ = 215766980293032. Its totient is φ = 38935394939520.

The previous prime is 100042334220317. The next prime is 100042334220349. The reversal of 100042334220340 is 43022433240001.

It can be written as a sum of positive squares in 4 ways, for example, as 52519675726116 + 47522658494224 = 7247046^2 + 6893668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100042334220299 and 100042334220308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042334220349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67596171031 + ... + 67596172510.

It is an arithmetic number, because the mean of its divisors is an integer number (8990290845543).

Almost surely, 2^{100042334220340} is an apocalyptic number.

100042334220340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100042334220340 is an abundant number, since it is smaller than the sum of its proper divisors (115724646072692).

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

100042334220340 is a wasteful number, since it uses less digits than its factorization.

100042334220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135192343587 (or 135192343585 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 100042334220340 its reverse (43022433240001), we get a palindrome (143064767460341).

The spelling of 100042334220340 in words is "one hundred trillion, forty-two billion, three hundred thirty-four million, two hundred twenty thousand, three hundred forty".