2112010120101 has 40 divisors (see below), whose sum is σ = 3287016075200. Its totient is φ = 1206178718976.

The previous prime is 2112010120093. The next prime is 2112010120111. The reversal of 2112010120101 is 1010210102112.

It is not a de Polignac number, because 2112010120101 - 2³ = 2112010120093 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112010120111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12760725 + ... + 12925173.

It is an arithmetic number, because the mean of its divisors is an integer number (82175401880).

Almost surely, 2^{2112010120101} is an apocalyptic number.

2112010120101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112010120101 is a deficient number, since it is larger than the sum of its proper divisors (1175005955099).

2112010120101 is an equidigital number, since it uses as much as digits as its factorization.

2112010120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166263 (or 166242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112010120101 its reverse (1010210102112), we get a palindrome (3122220222213).

The spelling of 2112010120101 in words is "two trillion, one hundred twelve billion, ten million, one hundred twenty thousand, one hundred one".