1100102111201 has 2 divisors, whose sum is σ = 1100102111202. Its totient is φ = 1100102111200.

The previous prime is 1100102111137. The next prime is 1100102111203. The reversal of 1100102111201 is 1021112010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1061755072225 + 38347038976 = 1030415^2 + 195824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100102111201 - 2⁶ = 1100102111137 is a prime.

Together with 1100102111203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1100102111203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550051055600 + 550051055601.

It is an arithmetic number, because the mean of its divisors is an integer number (550051055601).

Almost surely, 2^{1100102111201} is an apocalyptic number.

It is an amenable number.

1100102111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100102111201 is an equidigital number, since it uses as much as digits as its factorization.

1100102111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100102111201 its reverse (1021112010011), we get a palindrome (2121214121212).

The spelling of 1100102111201 in words is "one trillion, one hundred billion, one hundred two million, one hundred eleven thousand, two hundred one".