2011011222121 has 16 divisors (see below), whose sum is σ = 2310608913408. Its totient is φ = 1732362346000.

The previous prime is 2011011222079. The next prime is 2011011222137. The reversal of 2011011222121 is 1212221101102.

It is not a de Polignac number, because 2011011222121 - 2⁷ = 2011011221993 is a prime.

It is a super-2 number, since 2×2011011222121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011011222095 and 2011011222104.

It is not an unprimeable number, because it can be changed into a prime (2011011220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37116205 + ... + 37170346.

It is an arithmetic number, because the mean of its divisors is an integer number (144413057088).

Almost surely, 2^{2011011222121} is an apocalyptic number.

It is an amenable number.

2011011222121 is a deficient number, since it is larger than the sum of its proper divisors (299597691287).

2011011222121 is a wasteful number, since it uses less digits than its factorization.

2011011222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74286692.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2011011222121 its reverse (1212221101102), we get a palindrome (3223232323223).

The spelling of 2011011222121 in words is "two trillion, eleven billion, eleven million, two hundred twenty-two thousand, one hundred twenty-one".