2112021012101 has 32 divisors (see below), whose sum is σ = 2835857676288. Its totient is φ = 1519062517440.

The previous prime is 2112021012083. The next prime is 2112021012161. The reversal of 2112021012101 is 1012101202112.

It is not a de Polignac number, because 2112021012101 - 2¹⁴ = 2112020995717 is a prime.

It is a super-2 number, since 2×2112021012101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112021012161) 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 31 ways as a sum of consecutive naturals, for example, 28799186 + ... + 28872428.

It is an arithmetic number, because the mean of its divisors is an integer number (88620552384).

Almost surely, 2^{2112021012101} is an apocalyptic number.

It is an amenable number.

2112021012101 is a deficient number, since it is larger than the sum of its proper divisors (723836664187).

2112021012101 is a wasteful number, since it uses less digits than its factorization.

2112021012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102081.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112021012101 its reverse (1012101202112), we get a palindrome (3124122214213).

The spelling of 2112021012101 in words is "two trillion, one hundred twelve billion, twenty-one million, twelve thousand, one hundred one".