42136119910100 has 108 divisors (see below), whose sum is σ = 94536224078268. Its totient is φ = 16297151808000.

The previous prime is 42136119910043. The next prime is 42136119910121. The reversal of 42136119910100 is 101991163124.

42136119910100 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 15819917585476 + 26316202324624 = 3977426^2 + 5129932^2 .

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 35 ways as a sum of consecutive naturals, for example, 20241920 + ... + 22226280.

Almost surely, 2^{42136119910100} 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 42136119910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47268112039134).

42136119910100 is an abundant number, since it is smaller than the sum of its proper divisors (52400104168168).

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

42136119910100 is a wasteful number, since it uses less digits than its factorization.

42136119910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984554 (or 1984488 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 42136119910100 in words is "forty-two trillion, one hundred thirty-six billion, one hundred nineteen million, nine hundred ten thousand, one hundred".