1102122122121 has 6 divisors (see below), whose sum is σ = 1591954176410. Its totient is φ = 734748081408.

The previous prime is 1102122122099. The next prime is 1102122122249. The reversal of 1102122122121 is 1212212212011.

It can be written as a sum of positive squares in only one way, i.e., 1069592392521 + 32529729600 = 1034211^2 + 180360^2 .

It is not a de Polignac number, because 1102122122121 - 2⁹ = 1102122121609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1102122122094 and 1102122122103.

It is not an unprimeable number, because it can be changed into a prime (1102122122021) 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 5 ways as a sum of consecutive naturals, for example, 61229006776 + ... + 61229006793.

Almost surely, 2^{1102122122121} is an apocalyptic number.

It is an amenable number.

1102122122121 is a deficient number, since it is larger than the sum of its proper divisors (489832054289).

1102122122121 is a wasteful number, since it uses less digits than its factorization.

1102122122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122458013575 (or 122458013572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1102122122121 its reverse (1212212212011), we get a palindrome (2314334334132).

The spelling of 1102122122121 in words is "one trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".