100002000102011 has 12 divisors (see below), whose sum is σ = 116330192918640. Its totient is φ = 85715015919120.

The previous prime is 100002000101957. The next prime is 100002000102041. The reversal of 100002000102011 is 110201000200001.

It is not a de Polignac number, because 100002000102011 - 2³⁸ = 99727122195067 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 100002000102011.

It is not an unprimeable number, because it can be changed into a prime (100002000102041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7388951 + ... + 15956208.

It is an arithmetic number, because the mean of its divisors is an integer number (9694182743220).

Almost surely, 2^{100002000102011} is an apocalyptic number.

100002000102011 is a deficient number, since it is larger than the sum of its proper divisors (16328192816629).

100002000102011 is an equidigital number, since it uses as much as digits as its factorization.

100002000102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23432594 (or 23432587 counting only the distinct ones).

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

Adding to 100002000102011 its reverse (110201000200001), we get a palindrome (210203000302012).

The spelling of 100002000102011 in words is "one hundred trillion, two billion, one hundred two thousand, eleven".