201071755500 has 192 divisors, whose sum is σ = 730000567296. Its totient is φ = 41781120000.

The previous prime is 201071755499. The next prime is 201071755513. The reversal of 201071755500 is 5557170102.

201071755500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754941 + ... + 985940.

It is an arithmetic number, because the mean of its divisors is an integer number (3802086288).

Almost surely, 2^201071755500 is an apocalyptic number.

201071755500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201071755500 is an abundant number, since it is smaller than the sum of its proper divisors (528928811796).

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

201071755500 is a wasteful number, since it uses less digits than its factorization.

201071755500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740921 (or 1740909 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 33.

The spelling of 201071755500 in words is "two hundred one billion, seventy-one million, seven hundred fifty-five thousand, five hundred".