201008623643100 has 324 divisors, whose sum is σ = 779707301174256. Its totient is φ = 42410610478080.

The previous prime is 201008623643089. The next prime is 201008623643123. The reversal of 201008623643100 is 1346326800102.

201008623643100 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 8 + 6 + 2 + 3 + 643 + 1 + 0 + 0 = 666.

201008623643100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201008623643100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 93332137 + ... + 95461536.

Almost surely, 2^{201008623643100} is an apocalyptic number.

201008623643100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201008623643100 is an abundant number, since it is smaller than the sum of its proper divisors (578698677531156).

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

201008623643100 is a wasteful number, since it uses less digits than its factorization.

201008623643100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188793726 (or 188793703 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201008623643100 in words is "two hundred one trillion, eight billion, six hundred twenty-three million, six hundred forty-three thousand, one hundred".