142342243220100 has 288 divisors, whose sum is σ = 514225793442816. Its totient is φ = 29533916505600.

The previous prime is 142342243220071. The next prime is 142342243220117. The reversal of 142342243220100 is 1022342243241.

142342243220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142342243220100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087739 + ... + 20189661.

It is an arithmetic number, because the mean of its divisors is an integer number (1785506227232).

Almost surely, 2^{142342243220100} is an apocalyptic number.

142342243220100 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 142342243220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257112896721408).

142342243220100 is an abundant number, since it is smaller than the sum of its proper divisors (371883550222716).

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

142342243220100 is a wasteful number, since it uses less digits than its factorization.

142342243220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102635 (or 9102628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 142342243220100 its reverse (1022342243241), we get a palindrome (143364585463341).

The spelling of 142342243220100 in words is "one hundred forty-two trillion, three hundred forty-two billion, two hundred forty-three million, two hundred twenty thousand, one hundred".