1001120212121 has 16 divisors (see below), whose sum is σ = 1034864183808. Its totient is φ = 967467715200.

The previous prime is 1001120212111. The next prime is 1001120212133. The reversal of 1001120212121 is 1212120211001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001120212121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001120212096 and 1001120212105.

It is not an unprimeable number, because it can be changed into a prime (1001120212111) 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, 97068461 + ... + 97078773.

It is an arithmetic number, because the mean of its divisors is an integer number (64679011488).

Almost surely, 2^{1001120212121} is an apocalyptic number.

It is an amenable number.

1001120212121 is a deficient number, since it is larger than the sum of its proper divisors (33743971687).

1001120212121 is a wasteful number, since it uses less digits than its factorization.

1001120212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432.

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

Adding to 1001120212121 its reverse (1212120211001), we get a palindrome (2213240423122).

The spelling of 1001120212121 in words is "one trillion, one billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-one".