199749857720100 has 72 divisors (see below), whose sum is σ = 578344551079680. Its totient is φ = 53229612190080.

The previous prime is 199749857720093. The next prime is 199749857720129. The reversal of 199749857720100 is 1027758947991.

199749857720100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199749857719998 and 199749857720025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230920927 + ... + 231784326.

It is an arithmetic number, because the mean of its divisors is an integer number (8032563209440).

Almost surely, 2^{199749857720100} is an apocalyptic number.

199749857720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199749857720100 is an abundant number, since it is smaller than the sum of its proper divisors (378594693359580).

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

199749857720100 is a wasteful number, since it uses less digits than its factorization.

199749857720100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462706709 (or 462706702 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 69.

The spelling of 199749857720100 in words is "one hundred ninety-nine trillion, seven hundred forty-nine billion, eight hundred fifty-seven million, seven hundred twenty thousand, one hundred".