2100205716042 has 32 divisors (see below), whose sum is σ = 4804569782784. Its totient is φ = 599546329200.

The previous prime is 2100205715983. The next prime is 2100205716067. The reversal of 2100205716042 is 2406175020012.

It is a super-2 number, since 2×2100205716042² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21302184 + ... + 21400547.

It is an arithmetic number, because the mean of its divisors is an integer number (150142805712).

Almost surely, 2^{2100205716042} is an apocalyptic number.

2100205716042 is an abundant number, since it is smaller than the sum of its proper divisors (2704364066742).

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

2100205716042 is a wasteful number, since it uses less digits than its factorization.

2100205716042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42703914.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 2100205716042 in words is "two trillion, one hundred billion, two hundred five million, seven hundred sixteen thousand, forty-two".