2112012011021 has 16 divisors (see below), whose sum is σ = 2314164384000. Its totient is φ = 1911555072000.

The previous prime is 2112012010973. The next prime is 2112012011069. The reversal of 2112012011021 is 1201102102112.

It is an interprime number because it is at equal distance from previous prime (2112012010973) and next prime (2112012011069).

It is a cyclic number.

It is not a de Polignac number, because 2112012011021 - 2¹⁰ = 2112012009997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112012010987 and 2112012011005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112012011821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12135821 + ... + 12308621.

It is an arithmetic number, because the mean of its divisors is an integer number (144635274000).

Almost surely, 2^{2112012011021} is an apocalyptic number.

It is an amenable number.

2112012011021 is a deficient number, since it is larger than the sum of its proper divisors (202152372979).

2112012011021 is a wasteful number, since it uses less digits than its factorization.

2112012011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177700.

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

Adding to 2112012011021 its reverse (1201102102112), we get a palindrome (3313114113133).

It can be divided in two parts, 211201 and 2011021, that added together give a palindrome (2222222).

The spelling of 2112012011021 in words is "two trillion, one hundred twelve billion, twelve million, eleven thousand, twenty-one".