2012120000101 has 12 divisors (see below), whose sum is σ = 2039538916800. Its totient is φ = 1985064416088.

The previous prime is 2012120000089. The next prime is 2012120000147. The reversal of 2012120000101 is 1010000212102.

It is not a de Polignac number, because 2012120000101 - 2⁵ = 2012120000069 is a prime.

It is a super-5 number, since 5×2012120000101⁵ (a number of 63 digits) contains 55555 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012120007101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7729380 + ... + 7985458.

It is an arithmetic number, because the mean of its divisors is an integer number (169961576400).

Almost surely, 2^{2012120000101} is an apocalyptic number.

It is an amenable number.

2012120000101 is a deficient number, since it is larger than the sum of its proper divisors (27418916699).

2012120000101 is an equidigital number, since it uses as much as digits as its factorization.

2012120000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257496 (or 257417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2012120000101 its reverse (1010000212102), we get a palindrome (3022120212203).

The spelling of 2012120000101 in words is "two trillion, twelve billion, one hundred twenty million, one hundred one", and thus it is an aban number.