101000112212011 has 2 divisors, whose sum is σ = 101000112212012. Its totient is φ = 101000112212010.

The previous prime is 101000112211949. The next prime is 101000112212017. The reversal of 101000112212011 is 110212211000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000112212011 - 2⁹ = 101000112211499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000112211982 and 101000112212000.

It is not a weakly prime, because it can be changed into another prime (101000112212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500056106005 + 50500056106006.

It is an arithmetic number, because the mean of its divisors is an integer number (50500056106006).

Almost surely, 2^{101000112212011} is an apocalyptic number.

101000112212011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000112212011 is an equidigital number, since it uses as much as digits as its factorization.

101000112212011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101000112212011 its reverse (110212211000101), we get a palindrome (211212323212112).

The spelling of 101000112212011 in words is "one hundred one trillion, one hundred twelve million, two hundred twelve thousand, eleven".