1002012000121 has 16 divisors (see below), whose sum is σ = 1095417200448. Its totient is φ = 908993030400.

The previous prime is 1002012000109. The next prime is 1002012000139. The reversal of 1002012000121 is 1210002102001.

It is a cyclic number.

It is not a de Polignac number, because 1002012000121 - 2¹¹ = 1002011998073 is a prime.

It is a super-3 number, since 3×1002012000121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002012000098 and 1002012000107.

It is not an unprimeable number, because it can be changed into a prime (1002012000221) 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 15 ways as a sum of consecutive naturals, for example, 35615566 + ... + 35643688.

It is an arithmetic number, because the mean of its divisors is an integer number (68463575028).

Almost surely, 2^{1002012000121} is an apocalyptic number.

1002012000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002012000121 is a deficient number, since it is larger than the sum of its proper divisors (93405200327).

1002012000121 is a wasteful number, since it uses less digits than its factorization.

1002012000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34872.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002012000121 its reverse (1210002102001), we get a palindrome (2212014102122).

The spelling of 1002012000121 in words is "one trillion, two billion, twelve million, one hundred twenty-one", and thus it is an aban number.