100121112011 has 2 divisors, whose sum is σ = 100121112012. Its totient is φ = 100121112010.

The previous prime is 100121112001. The next prime is 100121112023. The reversal of 100121112011 is 110211121001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100121112011 - 2⁶ = 100121111947 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121111983 and 100121112001.

It is not a weakly prime, because it can be changed into another prime (100121112001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060556005 + 50060556006.

It is an arithmetic number, because the mean of its divisors is an integer number (50060556006).

Almost surely, 2^100121112011 is an apocalyptic number.

100121112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121112011 is an equidigital number, since it uses as much as digits as its factorization.

100121112011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121112011 its reverse (110211121001), we get a palindrome (210332233012).

The spelling of 100121112011 in words is "one hundred billion, one hundred twenty-one million, one hundred twelve thousand, eleven".