10042042341100 has 144 divisors (see below), whose sum is σ = 27239232577536. Its totient is φ = 3121814016000.

The previous prime is 10042042341077. The next prime is 10042042341109. The reversal of 10042042341100 is 114324024001.

It is a happy number.

It is a super-2 number, since 2×10042042341100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10042042341109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246540 + ... + 4651660.

It is an arithmetic number, because the mean of its divisors is an integer number (189161337344).

Almost surely, 2^{10042042341100} is an apocalyptic number.

10042042341100 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 10042042341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619616288768).

10042042341100 is an abundant number, since it is smaller than the sum of its proper divisors (17197190236436).

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

10042042341100 is a wasteful number, since it uses less digits than its factorization.

10042042341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405536 (or 3405529 counting only the distinct ones).

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

Adding to 10042042341100 its reverse (114324024001), we get a palindrome (10156366365101).

The spelling of 10042042341100 in words is "ten trillion, forty-two billion, forty-two million, three hundred forty-one thousand, one hundred".