1102121122011 has 16 divisors (see below), whose sum is σ = 1808609021184. Its totient is φ = 581338613664.

The previous prime is 1102121121947. The next prime is 1102121122021. The reversal of 1102121122011 is 1102211212011.

It is a happy number.

It is not a de Polignac number, because 1102121122011 - 2⁶ = 1102121121947 is a prime.

It is a super-3 number, since 3×1102121122011³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102121122021) 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, 2018536581 + ... + 2018537126.

It is an arithmetic number, because the mean of its divisors is an integer number (113038063824).

Almost surely, 2^{1102121122011} is an apocalyptic number.

1102121122011 is a deficient number, since it is larger than the sum of its proper divisors (706487899173).

1102121122011 is a wasteful number, since it uses less digits than its factorization.

1102121122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037073730.

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

Adding to 1102121122011 its reverse (1102211212011), we get a palindrome (2204332334022).

The spelling of 1102121122011 in words is "one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, eleven".