1201211011121 has 16 divisors (see below), whose sum is σ = 1355706253440. Its totient is φ = 1054270788480.

The previous prime is 1201211011109. The next prime is 1201211011127. The reversal of 1201211011121 is 1211101121021.

It is a de Polignac number, because none of the positive numbers 2^k-1201211011121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1201211011096 and 1201211011105.

It is not an unprimeable number, because it can be changed into a prime (1201211011127) 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 15 ways as a sum of consecutive naturals, for example, 4060580 + ... + 4346346.

It is an arithmetic number, because the mean of its divisors is an integer number (84731640840).

Almost surely, 2^{1201211011121} is an apocalyptic number.

1201211011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201211011121 is a deficient number, since it is larger than the sum of its proper divisors (154495242319).

1201211011121 is a wasteful number, since it uses less digits than its factorization.

1201211011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298984.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1201211011121 its reverse (1211101121021), we get a palindrome (2412312132142).

The spelling of 1201211011121 in words is "one trillion, two hundred one billion, two hundred eleven million, eleven thousand, one hundred twenty-one".