1102000111001 has 2 divisors, whose sum is σ = 1102000111002. Its totient is φ = 1102000111000.

The previous prime is 1102000110973. The next prime is 1102000111033. The reversal of 1102000111001 is 1001110002011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1067987899225 + 34012211776 = 1033435^2 + 184424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102000111001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1102000111001.

It is not a weakly prime, because it can be changed into another prime (1102000111301) 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 as a sum of consecutive naturals, namely, 551000055500 + 551000055501.

It is an arithmetic number, because the mean of its divisors is an integer number (551000055501).

Almost surely, 2^{1102000111001} is an apocalyptic number.

It is an amenable number.

1102000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102000111001 is an equidigital number, since it uses as much as digits as its factorization.

1102000111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1102000111001 its reverse (1001110002011), we get a palindrome (2103110113012).

The spelling of 1102000111001 in words is "one trillion, one hundred two billion, one hundred eleven thousand, one".