1102211102121 has 16 divisors (see below), whose sum is σ = 1493746804800. Its totient is φ = 722742045120.

The previous prime is 1102211102119. The next prime is 1102211102131. The reversal of 1102211102121 is 1212011122011.

It is a happy number.

It is not a de Polignac number, because 1102211102121 - 2¹ = 1102211102119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1102211102121.

It is not an unprimeable number, because it can be changed into a prime (1102211102131) 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 15 ways as a sum of consecutive naturals, for example, 10739155 + ... + 10841303.

It is an arithmetic number, because the mean of its divisors is an integer number (93359175300).

Almost surely, 2^{1102211102121} is an apocalyptic number.

It is an amenable number.

1102211102121 is a deficient number, since it is larger than the sum of its proper divisors (391535702679).

1102211102121 is a wasteful number, since it uses less digits than its factorization.

1102211102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161176.

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

Adding to 1102211102121 its reverse (1212011122011), we get a palindrome (2314222224132).

The spelling of 1102211102121 in words is "one trillion, one hundred two billion, two hundred eleven million, one hundred two thousand, one hundred twenty-one".