201000012120 has 384 divisors, whose sum is σ = 691192232640. Its totient is φ = 50589204480.

The previous prime is 201000012061. The next prime is 201000012121. The reversal of 201000012120 is 21210000102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105400207 + ... + 105402113.

Almost surely, 2^201000012120 is an apocalyptic number.

201000012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345596116320).

201000012120 is an abundant number, since it is smaller than the sum of its proper divisors (490192220520).

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

201000012120 is a wasteful number, since it uses less digits than its factorization.

201000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2188 counting only the distinct ones).

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

Adding to 201000012120 its reverse (21210000102), we get a palindrome (222210012222).

The spelling of 201000012120 in words is "two hundred one billion, twelve thousand, one hundred twenty".