100414011111 has 8 divisors (see below), whose sum is σ = 133894702704. Its totient is φ = 66937996800.

The previous prime is 100414011079. The next prime is 100414011167. The reversal of 100414011111 is 111110414001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100414011111 - 2⁵ = 100414011079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1118916 + ... + 1205321.

It is an arithmetic number, because the mean of its divisors is an integer number (16736837838).

Almost surely, 2^100414011111 is an apocalyptic number.

100414011111 is a deficient number, since it is larger than the sum of its proper divisors (33480691593).

100414011111 is a wasteful number, since it uses less digits than its factorization.

100414011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338641.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100414011111 its reverse (111110414001), we get a palindrome (211524425112).

The spelling of 100414011111 in words is "one hundred billion, four hundred fourteen million, eleven thousand, one hundred eleven".