101000111221111 has 2 divisors, whose sum is σ = 101000111221112. Its totient is φ = 101000111221110.

The previous prime is 101000111221091. The next prime is 101000111221169. The reversal of 101000111221111 is 111122111000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000111221111 - 2⁹ = 101000111220599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000111221091 and 101000111221100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000111227111) 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, 50500055610555 + 50500055610556.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055610556).

Almost surely, 2^{101000111221111} is an apocalyptic number.

101000111221111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000111221111 is an equidigital number, since it uses as much as digits as its factorization.

101000111221111 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 13.

Adding to 101000111221111 its reverse (111122111000101), we get a palindrome (212122222221212).

The spelling of 101000111221111 in words is "one hundred one trillion, one hundred eleven million, two hundred twenty-one thousand, one hundred eleven".