1102112122113 has 6 divisors (see below), whose sum is σ = 1591939731954. Its totient is φ = 734741414736.

The previous prime is 1102112122103. The next prime is 1102112122123. The reversal of 1102112122113 is 3112212112011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1102112122103) and next prime (1102112122123).

It can be written as a sum of positive squares in only one way, i.e., 1018702638864 + 83409483249 = 1009308^2 + 288807^2 .

It is not a de Polignac number, because 1102112122113 - 2¹⁸ = 1102111859969 is a prime.

It is a super-2 number, since 2×1102112122113² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102112122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61228451220 + ... + 61228451237.

It is an arithmetic number, because the mean of its divisors is an integer number (265323288659).

Almost surely, 2^{1102112122113} is an apocalyptic number.

It is an amenable number.

1102112122113 is a deficient number, since it is larger than the sum of its proper divisors (489827609841).

1102112122113 is a wasteful number, since it uses less digits than its factorization.

1102112122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122456902463 (or 122456902460 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1102112122113 its reverse (3112212112011), we get a palindrome (4214324234124).

The spelling of 1102112122113 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".