2012010000101 has 4 divisors (see below), whose sum is σ = 2012026485792. Its totient is φ = 2011993514412.

The previous prime is 2012010000061. The next prime is 2012010000107. The reversal of 2012010000101 is 1010000102102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012010000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012010000107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8058401 + ... + 8304326.

It is an arithmetic number, because the mean of its divisors is an integer number (503006621448).

Almost surely, 2^{2012010000101} is an apocalyptic number.

It is an amenable number.

2012010000101 is a deficient number, since it is larger than the sum of its proper divisors (16485691).

2012010000101 is a wasteful number, since it uses less digits than its factorization.

2012010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16485690.

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

Adding to 2012010000101 its reverse (1010000102102), we get a palindrome (3022010102203).

The spelling of 2012010000101 in words is "two trillion, twelve billion, ten million, one hundred one", and thus it is an aban number.