1000002102011 has 24 divisors (see below), whose sum is σ = 1128698265744. Its totient is φ = 878134400000.

The previous prime is 1000002101953. The next prime is 1000002102019. The reversal of 1000002102011 is 1102012000001.

It is not a de Polignac number, because 1000002102011 - 2³⁴ = 982822232827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000002102011.

It is not an unprimeable number, because it can be changed into a prime (1000002102019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4491971 + ... + 4709331.

It is an arithmetic number, because the mean of its divisors is an integer number (47029094406).

Almost surely, 2^{1000002102011} is an apocalyptic number.

1000002102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000002102011 is a deficient number, since it is larger than the sum of its proper divisors (128696163733).

1000002102011 is a wasteful number, since it uses less digits than its factorization.

1000002102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217615 (or 217514 counting only the distinct ones).

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

Adding to 1000002102011 its reverse (1102012000001), we get a palindrome (2102014102012).

The spelling of 1000002102011 in words is "one trillion, two million, one hundred two thousand, eleven".