100114114021 has 2 divisors, whose sum is σ = 100114114022. Its totient is φ = 100114114020.

The previous prime is 100114114007. The next prime is 100114114031. The reversal of 100114114021 is 120411411001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58105102500 + 42009011521 = 241050^2 + 204961^2 .

It is a cyclic number.

It is not a de Polignac number, because 100114114021 - 2⁷ = 100114113893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100114113986 and 100114114004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100114114031) 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 as a sum of consecutive naturals, namely, 50057057010 + 50057057011.

It is an arithmetic number, because the mean of its divisors is an integer number (50057057011).

Almost surely, 2^100114114021 is an apocalyptic number.

It is an amenable number.

100114114021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100114114021 is an equidigital number, since it uses as much as digits as its factorization.

100114114021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100114114021 its reverse (120411411001), we get a palindrome (220525525022).

The spelling of 100114114021 in words is "one hundred billion, one hundred fourteen million, one hundred fourteen thousand, twenty-one".