1100221012121 has 64 divisors (see below), whose sum is σ = 1491100876800. Its totient is φ = 785664230400.

The previous prime is 1100221012109. The next prime is 1100221012129. The reversal of 1100221012121 is 1212101220011.

It is not a de Polignac number, because 1100221012121 - 2¹⁸ = 1100220749977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100221012096 and 1100221012105.

It is not an unprimeable number, because it can be changed into a prime (1100221012129) 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 63 ways as a sum of consecutive naturals, for example, 173834885 + ... + 173841213.

It is an arithmetic number, because the mean of its divisors is an integer number (23298451200).

Almost surely, 2^{1100221012121} is an apocalyptic number.

1100221012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100221012121 is a deficient number, since it is larger than the sum of its proper divisors (390879864679).

1100221012121 is a wasteful number, since it uses less digits than its factorization.

1100221012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230.

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

Adding to 1100221012121 its reverse (1212101220011), we get a palindrome (2312322232132).

The spelling of 1100221012121 in words is "one trillion, one hundred billion, two hundred twenty-one million, twelve thousand, one hundred twenty-one".