10042024341100 has 72 divisors (see below), whose sum is σ = 22938728858640. Its totient is φ = 3805293991680.

The previous prime is 10042024341091. The next prime is 10042024341109. The reversal of 10042024341100 is 114342024001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10042024341091) and next prime (10042024341109).

It is a super-3 number, since 3×10042024341100³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10042024341109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135495654 + ... + 135569746.

It is an arithmetic number, because the mean of its divisors is an integer number (318593456370).

Almost surely, 2^{10042024341100} is an apocalyptic number.

10042024341100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042024341100 is an abundant number, since it is smaller than the sum of its proper divisors (12896704517540).

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

10042024341100 is a wasteful number, since it uses less digits than its factorization.

10042024341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145459 (or 145452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10042024341100 its reverse (114342024001), we get a palindrome (10156366365101).

The spelling of 10042024341100 in words is "ten trillion, forty-two billion, twenty-four million, three hundred forty-one thousand, one hundred".