1211310221121 has 64 divisors (see below), whose sum is σ = 2409443850240. Its totient is φ = 580848045120.

The previous prime is 1211310221081. The next prime is 1211310221129. The reversal of 1211310221121 is 1211220131121.

It is a happy number.

1211310221121 is a `hidden beast` number, since 1 + 2 + 11 + 310 + 221 + 121 = 666.

It is not a de Polignac number, because 1211310221121 - 2⁶ = 1211310221057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211310221094 and 1211310221103.

It is not an unprimeable number, because it can be changed into a prime (1211310221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22382235 + ... + 22436288.

It is an arithmetic number, because the mean of its divisors is an integer number (37647560160).

Almost surely, 2^{1211310221121} is an apocalyptic number.

1211310221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211310221121 is a deficient number, since it is larger than the sum of its proper divisors (1198133629119).

1211310221121 is a wasteful number, since it uses less digits than its factorization.

1211310221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44818563 (or 44818557 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1211310221121 its reverse (1211220131121), we get a palindrome (2422530352242).

The spelling of 1211310221121 in words is "one trillion, two hundred eleven billion, three hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".