1000102002011 has 20 divisors (see below), whose sum is σ = 1167864065400. Its totient is φ = 856386945792.

The previous prime is 1000102001989. The next prime is 1000102002017. The reversal of 1000102002011 is 1102002010001.

It is a de Polignac number, because none of the positive numbers 2^k-1000102002011 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 1000102002011.

It is not an unprimeable number, because it can be changed into a prime (1000102002017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2242235 + ... + 2651003.

It is an arithmetic number, because the mean of its divisors is an integer number (58393203270).

Almost surely, 2^{1000102002011} is an apocalyptic number.

1000102002011 is a deficient number, since it is larger than the sum of its proper divisors (167762063389).

1000102002011 is an frugal number, since it uses more digits than its factorization.

1000102002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409816 (or 409795 counting only the distinct ones).

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

Adding to 1000102002011 its reverse (1102002010001), we get a palindrome (2102104012012).

The spelling of 1000102002011 in words is "one trillion, one hundred two million, two thousand, eleven".