2112101012011 has 8 divisors (see below), whose sum is σ = 2112751833984. Its totient is φ = 2111450298240.

The previous prime is 2112101012003. The next prime is 2112101012027. The reversal of 2112101012011 is 1102101012112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112101012011 - 2³ = 2112101012003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112101011982 and 2112101012000.

It is not an unprimeable number, because it can be changed into a prime (2112101012111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54566781 + ... + 54605473.

It is an arithmetic number, because the mean of its divisors is an integer number (264093979248).

Almost surely, 2^{2112101012011} is an apocalyptic number.

2112101012011 is a deficient number, since it is larger than the sum of its proper divisors (650821973).

2112101012011 is an equidigital number, since it uses as much as digits as its factorization.

2112101012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54101.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112101012011 its reverse (1102101012112), we get a palindrome (3214202024123).

It can be divided in two parts, 211210101 and 2011, that added together give a palindrome (211212112).

The spelling of 2112101012011 in words is "two trillion, one hundred twelve billion, one hundred one million, twelve thousand, eleven".