42042222420100 has 144 divisors (see below), whose sum is σ = 105288269119488. Its totient is φ = 14273000645760.

The previous prime is 42042222420083. The next prime is 42042222420217. The reversal of 42042222420100 is 102422224024.

42042222420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823572777 + ... + 823623823.

It is an arithmetic number, because the mean of its divisors is an integer number (731168535552).

Almost surely, 2^{42042222420100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042222420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52644134559744).

42042222420100 is an abundant number, since it is smaller than the sum of its proper divisors (63246046699388).

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

42042222420100 is a wasteful number, since it uses less digits than its factorization.

42042222420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62594 (or 62587 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 42042222420100 its reverse (102422224024), we get a palindrome (42144644644124).

The spelling of 42042222420100 in words is "forty-two trillion, forty-two billion, two hundred twenty-two million, four hundred twenty thousand, one hundred".