1100012221121 has 16 divisors (see below), whose sum is σ = 1290047938560. Its totient is φ = 927221939280.

The previous prime is 1100012221117. The next prime is 1100012221141. The reversal of 1100012221121 is 1211222100011.

It is a cyclic number.

It is not a de Polignac number, because 1100012221121 - 2² = 1100012221117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100012221096 and 1100012221105.

It is not an unprimeable number, because it can be changed into a prime (1100012221141) 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 in 15 ways as a sum of consecutive naturals, for example, 55981841 + ... + 56001486.

It is an arithmetic number, because the mean of its divisors is an integer number (80627996160).

Almost surely, 2^{1100012221121} is an apocalyptic number.

1100012221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100012221121 is a deficient number, since it is larger than the sum of its proper divisors (190035717439).

1100012221121 is a wasteful number, since it uses less digits than its factorization.

1100012221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111983404.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100012221121 its reverse (1211222100011), we get a palindrome (2311234321132).

The spelling of 1100012221121 in words is "one trillion, one hundred billion, twelve million, two hundred twenty-one thousand, one hundred twenty-one".