1002000120011 has 16 divisors (see below), whose sum is σ = 1095841821696. Its totient is φ = 908617500000.

The previous prime is 1002000120001. The next prime is 1002000120041. The reversal of 1002000120011 is 1100210002001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002000120011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002000120001) 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, 52093766 + ... + 52112996.

It is an arithmetic number, because the mean of its divisors is an integer number (68490113856).

Almost surely, 2^{1002000120011} is an apocalyptic number.

1002000120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002000120011 is a deficient number, since it is larger than the sum of its proper divisors (93841701685).

1002000120011 is a wasteful number, since it uses less digits than its factorization.

1002000120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30914.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002000120011 its reverse (1100210002001), we get a palindrome (2102210122012).

The spelling of 1002000120011 in words is "one trillion, two billion, one hundred twenty thousand, eleven".