100002111011 has 16 divisors (see below), whose sum is σ = 110216416608. Its totient is φ = 89975712000.

The previous prime is 100002110993. The next prime is 100002111017. The reversal of 100002111011 is 110111200001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100002111011 - 2¹⁸ = 100001848867 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 100002111011.

It is not an unprimeable number, because it can be changed into a prime (100002111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069041 + ... + 3101453.

It is an arithmetic number, because the mean of its divisors is an integer number (6888526038).

Almost surely, 2^100002111011 is an apocalyptic number.

100002111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100002111011 is a deficient number, since it is larger than the sum of its proper divisors (10214305597).

100002111011 is a wasteful number, since it uses less digits than its factorization.

100002111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35302.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100002111011 its reverse (110111200001), we get a palindrome (210113311012).

The spelling of 100002111011 in words is "one hundred billion, two million, one hundred eleven thousand, eleven".