1100121122101 has 4 divisors (see below), whose sum is σ = 1100128221900. Its totient is φ = 1100114022304.

The previous prime is 1100121122083. The next prime is 1100121122119. The reversal of 1100121122101 is 1012211210011.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (1100121122083) and next prime (1100121122119).

It can be written as a sum of positive squares in 2 ways, for example, as 56763062500 + 1043358059601 = 238250^2 + 1021449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100121122101 - 2¹¹ = 1100121120053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121122171) 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 in 3 ways as a sum of consecutive naturals, for example, 3312166 + ... + 3629143.

It is an arithmetic number, because the mean of its divisors is an integer number (275032055475).

Almost surely, 2^{1100121122101} is an apocalyptic number.

It is an amenable number.

1100121122101 is a deficient number, since it is larger than the sum of its proper divisors (7099799).

1100121122101 is an equidigital number, since it uses as much as digits as its factorization.

1100121122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099798.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1100121122101 its reverse (1012211210011), we get a palindrome (2112332332112).

The spelling of 1100121122101 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".