2142388416100 has 27 divisors (see below), whose sum is σ = 4649014625227. Its totient is φ = 856949511680.

The previous prime is 2142388416089. The next prime is 2142388416131. The reversal of 2142388416100 is 16148832412.

The square root of 2142388416100 is 1463690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 646972487716 + 1495415928384 = 804346^2 + 1222872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14563716 + ... + 14710084.

Almost surely, 2^{2142388416100} is an apocalyptic number.

2142388416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2142388416100 is the 1463690-th square number.

It is an amenable number.

2142388416100 is an abundant number, since it is smaller than the sum of its proper divisors (2506626209127).

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

2142388416100 is an frugal number, since it uses more digits than its factorization.

2142388416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292752 (or 146376 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 2142388416100 in words is "two trillion, one hundred forty-two billion, three hundred eighty-eight million, four hundred sixteen thousand, one hundred".