2012000200101 has 12 divisors (see below), whose sum is σ = 2906351325228. Its totient is φ = 1341274014144.

The previous prime is 2012000200019. The next prime is 2012000200127. The reversal of 2012000200101 is 1010020002102.

It can be written as a sum of positive squares in 2 ways, for example, as 1527028632900 + 484971567201 = 1235730^2 + 696399^2 .

It is not a de Polignac number, because 2012000200101 - 2¹⁴ = 2012000183717 is a prime.

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 (2012000200151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4739560 + ... + 5146593.

It is an arithmetic number, because the mean of its divisors is an integer number (242195943769).

Almost surely, 2^{2012000200101} is an apocalyptic number.

It is an amenable number.

2012000200101 is a deficient number, since it is larger than the sum of its proper divisors (894351125127).

2012000200101 is a wasteful number, since it uses less digits than its factorization.

2012000200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908772 (or 9908769 counting only the distinct ones).

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

Adding to 2012000200101 its reverse (1010020002102), we get a palindrome (3022020202203).

The spelling of 2012000200101 in words is "two trillion, twelve billion, two hundred thousand, one hundred one".