42102022344102 has 144 divisors (see below), whose sum is σ = 106728958065600. Its totient is φ = 11959496851680.

The previous prime is 42102022344079. The next prime is 42102022344163. The reversal of 42102022344102 is 20144322020124.

It is a happy number.

42102022344102 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 20 + 223 + 4 + 410 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 855516277 + ... + 855565487.

It is an arithmetic number, because the mean of its divisors is an integer number (741173319900).

Almost surely, 2^{42102022344102} is an apocalyptic number.

42102022344102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102022344102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53364479032800).

42102022344102 is an abundant number, since it is smaller than the sum of its proper divisors (64626935721498).

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

42102022344102 is a wasteful number, since it uses less digits than its factorization.

42102022344102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54831 (or 54821 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42102022344102 its reverse (20144322020124), we get a palindrome (62246344364226).

The spelling of 42102022344102 in words is "forty-two trillion, one hundred two billion, twenty-two million, three hundred forty-four thousand, one hundred two".