100111010010011 has 144 divisors (see below), whose sum is σ = 139489251812064. Its totient is φ = 71155244160000.

The previous prime is 100111010009999. The next prime is 100111010010023. The reversal of 100111010010011 is 110010010111001.

It is an interprime number because it is at equal distance from previous prime (100111010009999) and next prime (100111010010023).

It is not a de Polignac number, because 100111010010011 - 2¹⁸ = 100111009747867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111010015011) 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 143 ways as a sum of consecutive naturals, for example, 4055856476 + ... + 4055881158.

It is an arithmetic number, because the mean of its divisors is an integer number (968675359806).

Almost surely, 2^{100111010010011} is an apocalyptic number.

100111010010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111010010011 is a deficient number, since it is larger than the sum of its proper divisors (39378241802053).

100111010010011 is a wasteful number, since it uses less digits than its factorization.

100111010010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25354 (or 25336 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111010010011 its reverse (110010010111001), we get a palindrome (210121020121012).

It can be divided in two parts, 100 and 111010010011, that added together give a palindrome (111010010111).

The spelling of 100111010010011 in words is "one hundred trillion, one hundred eleven billion, ten million, ten thousand, eleven".