201001102000 has 40 divisors (see below), whose sum is σ = 486020669472. Its totient is φ = 80400440000.

The previous prime is 201001101997. The next prime is 201001102033. The reversal of 201001102000 is 201100102.

201001102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 50248276 + ... + 50252275.

Almost surely, 2^201001102000 is an apocalyptic number.

201001102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001102000 is an abundant number, since it is smaller than the sum of its proper divisors (285019567472).

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

201001102000 is a wasteful number, since it uses less digits than its factorization.

201001102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100500574 (or 100500558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 201001102000 its reverse (201100102), we get a palindrome (201202202102).

The spelling of 201001102000 in words is "two hundred one billion, one million, one hundred two thousand".