1100212220101 has 2 divisors, whose sum is σ = 1100212220102. Its totient is φ = 1100212220100.

The previous prime is 1100212220089. The next prime is 1100212220123. The reversal of 1100212220101 is 1010222120011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 624098420001 + 476113800100 = 789999^2 + 690010^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100212220101 - 2²⁵ = 1100178665669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100212220131) 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, 550106110050 + 550106110051.

It is an arithmetic number, because the mean of its divisors is an integer number (550106110051).

Almost surely, 2^{1100212220101} is an apocalyptic number.

It is an amenable number.

1100212220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100212220101 is an equidigital number, since it uses as much as digits as its factorization.

1100212220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1100212220101 its reverse (1010222120011), we get a palindrome (2110434340112).

The spelling of 1100212220101 in words is "one trillion, one hundred billion, two hundred twelve million, two hundred twenty thousand, one hundred one".