2010120000201 has 24 divisors (see below), whose sum is σ = 3157390406664. Its totient is φ = 1227163875840.

The previous prime is 2010120000197. The next prime is 2010120000223. The reversal of 2010120000201 is 1020000210102.

It can be written as a sum of positive squares in 4 ways, for example, as 376720978176 + 1633399022025 = 613776^2 + 1278045^2 .

It is not a de Polignac number, because 2010120000201 - 2² = 2010120000197 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2010120000281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177535410 + ... + 177546731.

It is an arithmetic number, because the mean of its divisors is an integer number (131557933611).

Almost surely, 2^{2010120000201} is an apocalyptic number.

It is an amenable number.

2010120000201 is a deficient number, since it is larger than the sum of its proper divisors (1147270406463).

2010120000201 is a wasteful number, since it uses less digits than its factorization.

2010120000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355082201 (or 355082198 counting only the distinct ones).

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

Adding to 2010120000201 its reverse (1020000210102), we get a palindrome (3030120210303).

The spelling of 2010120000201 in words is "two trillion, ten billion, one hundred twenty million, two hundred one", and thus it is an aban number.