201000201012 has 576 divisors, whose sum is σ = 641068646400. Its totient is φ = 52389089280.

The previous prime is 201000201001. The next prime is 201000201013. The reversal of 201000201012 is 210102000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000200985 and 201000201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000201013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276478593 + ... + 276479319.

It is an arithmetic number, because the mean of its divisors is an integer number (1112966400).

Almost surely, 2^201000201012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320534323200).

201000201012 is an abundant number, since it is smaller than the sum of its proper divisors (440068445388).

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

201000201012 is a wasteful number, since it uses less digits than its factorization.

201000201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000201012 its reverse (210102000102), we get a palindrome (411102201114).

The spelling of 201000201012 in words is "two hundred one billion, two hundred one thousand, twelve".