1100212011121 has 8 divisors (see below), whose sum is σ = 1107730722600. Its totient is φ = 1092695096448.

The previous prime is 1100212011103. The next prime is 1100212011169. The reversal of 1100212011121 is 1211102120011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32222045025 + 1067989966096 = 179505^2 + 1033436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100212011121 - 2¹⁵ = 1100211978353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100212011191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791275 + ... + 1681231.

It is an arithmetic number, because the mean of its divisors is an integer number (138466340325).

Almost surely, 2^{1100212011121} is an apocalyptic number.

It is an amenable number.

1100212011121 is a deficient number, since it is larger than the sum of its proper divisors (7518711479).

1100212011121 is an equidigital number, since it uses as much as digits as its factorization.

1100212011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898403.

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

Adding to 1100212011121 its reverse (1211102120011), we get a palindrome (2311314131132).

The spelling of 1100212011121 in words is "one trillion, one hundred billion, two hundred twelve million, eleven thousand, one hundred twenty-one".