1102100113 has 2 divisors, whose sum is σ = 1102100114. Its totient is φ = 1102100112.

The previous prime is 1102100099. The next prime is 1102100143. The reversal of 1102100113 is 3110012011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 683979409 + 418120704 = 26153^2 + 20448^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102100113 - 2⁹ = 1102099601 is a prime.

It is a super-2 number, since 2×1102100113² = 2429249318149225538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1102100113.

It is not a weakly prime, because it can be changed into another prime (1102100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551050056 + 551050057.

It is an arithmetic number, because the mean of its divisors is an integer number (551050057).

Almost surely, 2^1102100113 is an apocalyptic number.

It is an amenable number.

1102100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102100113 is an equidigital number, since it uses as much as digits as its factorization.

1102100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1102100113 is about 33197.8932012259. The cubic root of 1102100113 is about 1032.9366386993.

Adding to 1102100113 its reverse (3110012011), we get a palindrome (4212112124).

The spelling of 1102100113 in words is "one billion, one hundred two million, one hundred thousand, one hundred thirteen".