42102212110100 has 36 divisors (see below), whose sum is σ = 91522365956700. Its totient is φ = 16811287484160.

The previous prime is 42102212110097. The next prime is 42102212110129. The reversal of 42102212110100 is 101121220124.

42102212110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11429024307856 + 30673187802244 = 3380684^2 + 5538338^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 369909815 + ... + 370023614.

Almost surely, 2^{42102212110100} is an apocalyptic number.

It is an amenable number.

42102212110100 is an abundant number, since it is smaller than the sum of its proper divisors (49420153846600).

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

42102212110100 is a wasteful number, since it uses less digits than its factorization.

42102212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739934012 (or 739934005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 42102212110100 its reverse (101121220124), we get a palindrome (42203333330224).

The spelling of 42102212110100 in words is "forty-two trillion, one hundred two billion, two hundred twelve million, one hundred ten thousand, one hundred".