1201122021121 has 16 divisors (see below), whose sum is σ = 1330665222528. Its totient is φ = 1075098528000.

The previous prime is 1201122021059. The next prime is 1201122021191. The reversal of 1201122021121 is 1211202211021.

It is a cyclic number.

It is not a de Polignac number, because 1201122021121 - 2¹⁹ = 1201121496833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1201122021095 and 1201122021104.

It is not an unprimeable number, because it can be changed into a prime (1201122021191) 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, 3012006 + ... + 3387391.

It is an arithmetic number, because the mean of its divisors is an integer number (83166576408).

Almost surely, 2^{1201122021121} is an apocalyptic number.

1201122021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201122021121 is a deficient number, since it is larger than the sum of its proper divisors (129543201407).

1201122021121 is a wasteful number, since it uses less digits than its factorization.

1201122021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399672.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1201122021121 its reverse (1211202211021), we get a palindrome (2412324232142).

The spelling of 1201122021121 in words is "one trillion, two hundred one billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty-one".