201001211000 has 64 divisors (see below), whose sum is σ = 474999932160. Its totient is φ = 79604400000.

The previous prime is 201001210979. The next prime is 201001211011. The reversal of 201001211000 is 112100102.

201001211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201001211000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 894056 + ... + 1096055.

It is an arithmetic number, because the mean of its divisors is an integer number (7421873940).

Almost surely, 2^201001211000 is an apocalyptic number.

201001211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001211000 is an abundant number, since it is smaller than the sum of its proper divisors (273998721160).

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

201001211000 is a wasteful number, since it uses less digits than its factorization.

201001211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990233 (or 1990219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201001211000 its reverse (112100102), we get a palindrome (201113311102).

The spelling of 201001211000 in words is "two hundred one billion, one million, two hundred eleven thousand".