1000121000121 has 20 divisors (see below), whose sum is σ = 1503523906852. Its totient is φ = 662500526688.

The previous prime is 1000121000111. The next prime is 1000121000141. The reversal of 1000121000121 is 1210001210001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 401448960000 + 598672040121 = 633600^2 + 773739^2 .

It is not a de Polignac number, because 1000121000121 - 2¹⁷ = 1000120869049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000121000111) 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 19 ways as a sum of consecutive naturals, for example, 39309490 + ... + 39334923.

Almost surely, 2^{1000121000121} is an apocalyptic number.

It is an amenable number.

1000121000121 is a deficient number, since it is larger than the sum of its proper divisors (503402906731).

1000121000121 is an equidigital number, since it uses as much as digits as its factorization.

1000121000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78644582 (or 78644573 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000121000121 its reverse (1210001210001), we get a palindrome (2210122210122).

The spelling of 1000121000121 in words is "one trillion, one hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.