2011121112221 has 32 divisors (see below), whose sum is σ = 2246469237600. Its totient is φ = 1788878131200.

The previous prime is 2011121112179. The next prime is 2011121112263. The reversal of 2011121112221 is 1222111211102.

It is an interprime number because it is at equal distance from previous prime (2011121112179) and next prime (2011121112263).

It can be written as a sum of positive squares in 16 ways, for example, as 1749244308100 + 261876804121 = 1322590^2 + 511739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011121112221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011121112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011121162221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8508881 + ... + 8742041.

It is an arithmetic number, because the mean of its divisors is an integer number (70202163675).

Almost surely, 2^{2011121112221} is an apocalyptic number.

It is an amenable number.

2011121112221 is a deficient number, since it is larger than the sum of its proper divisors (235348125379).

2011121112221 is a wasteful number, since it uses less digits than its factorization.

2011121112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233457.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2011121112221 its reverse (1222111211102), we get a palindrome (3233232323323).

The spelling of 2011121112221 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".