1011201211121 has 8 divisors (see below), whose sum is σ = 1014999460200. Its totient is φ = 1007403252480.

The previous prime is 1011201211103. The next prime is 1011201211133. The reversal of 1011201211121 is 1211121021101.

It can be written as a sum of positive squares in 4 ways, for example, as 72744023521 + 938457187600 = 269711^2 + 968740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011201211121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011201211096 and 1011201211105.

It is not an unprimeable number, because it can be changed into a prime (1011201211151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044441 + ... + 9155561.

It is an arithmetic number, because the mean of its divisors is an integer number (126874932525).

Almost surely, 2^{1011201211121} is an apocalyptic number.

It is an amenable number.

1011201211121 is a deficient number, since it is larger than the sum of its proper divisors (3798249079).

1011201211121 is a wasteful number, since it uses less digits than its factorization.

1011201211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145219.

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

Adding to 1011201211121 its reverse (1211121021101), we get a palindrome (2222322232222).

The spelling of 1011201211121 in words is "one trillion, eleven billion, two hundred one million, two hundred eleven thousand, one hundred twenty-one".