100103014011 has 64 divisors (see below), whose sum is σ = 186997063680. Its totient is φ = 45914394240.

The previous prime is 100103013953. The next prime is 100103014027. The reversal of 100103014011 is 110410301001.

It is not a de Polignac number, because 100103014011 - 2⁹ = 100103013499 is a prime.

It is a super-2 number, since 2×100103014011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100103014031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655591 + ... + 793728.

It is an arithmetic number, because the mean of its divisors is an integer number (2921829120).

Almost surely, 2^100103014011 is an apocalyptic number.

100103014011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100103014011 is a deficient number, since it is larger than the sum of its proper divisors (86894049669).

100103014011 is a wasteful number, since it uses less digits than its factorization.

100103014011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449376.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100103014011 its reverse (110410301001), we get a palindrome (210513315012).

The spelling of 100103014011 in words is "one hundred billion, one hundred three million, fourteen thousand, eleven".