100414014211 has 16 divisors (see below), whose sum is σ = 115832218624. Its totient is φ = 85267525824.

The previous prime is 100414014203. The next prime is 100414014221. The reversal of 100414014211 is 112410414001.

It is a cyclic number.

It is not a de Polignac number, because 100414014211 - 2³ = 100414014203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100414014221) 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, 216550 + ... + 497716.

It is an arithmetic number, because the mean of its divisors is an integer number (7239513664).

Almost surely, 2^100414014211 is an apocalyptic number.

100414014211 is a deficient number, since it is larger than the sum of its proper divisors (15418204413).

100414014211 is a wasteful number, since it uses less digits than its factorization.

100414014211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281650.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100414014211 its reverse (112410414001), we get a palindrome (212824428212).

The spelling of 100414014211 in words is "one hundred billion, four hundred fourteen million, fourteen thousand, two hundred eleven".