2112011101221 has 32 divisors (see below), whose sum is σ = 3239516230656. Its totient is φ = 1198934352000.

The previous prime is 2112011101169. The next prime is 2112011101241. The reversal of 2112011101221 is 1221011102112.

It is a happy number.

It is not a de Polignac number, because 2112011101221 - 2⁷ = 2112011101093 is a prime.

It is a super-2 number, since 2×2112011101221² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112011101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112011101241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1412586 + ... + 2493876.

It is an arithmetic number, because the mean of its divisors is an integer number (101234882208).

Almost surely, 2^{2112011101221} is an apocalyptic number.

2112011101221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112011101221 is a deficient number, since it is larger than the sum of its proper divisors (1127505129435).

2112011101221 is a wasteful number, since it uses less digits than its factorization.

2112011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081913.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112011101221 its reverse (1221011102112), we get a palindrome (3333022203333).

The spelling of 2112011101221 in words is "two trillion, one hundred twelve billion, eleven million, one hundred one thousand, two hundred twenty-one".