100144001140340 has 12 divisors (see below), whose sum is σ = 210302402394756. Its totient is φ = 40057600456128.

The previous prime is 100144001140333. The next prime is 100144001140343. The reversal of 100144001140340 is 43041100441001.

It can be written as a sum of positive squares in 2 ways, for example, as 13993749235684 + 86150251904656 = 3740822^2 + 9281716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144001140343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2503600028489 + ... + 2503600028528.

It is an arithmetic number, because the mean of its divisors is an integer number (17525200199563).

Almost surely, 2^{100144001140340} is an apocalyptic number.

100144001140340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144001140340 is an abundant number, since it is smaller than the sum of its proper divisors (110158401254416).

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

100144001140340 is a wasteful number, since it uses less digits than its factorization.

100144001140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007200057026 (or 5007200057024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 100144001140340 its reverse (43041100441001), we get a palindrome (143185101581341).

The spelling of 100144001140340 in words is "one hundred trillion, one hundred forty-four billion, one million, one hundred forty thousand, three hundred forty".