101100201010111 has 2 divisors, whose sum is σ = 101100201010112. Its totient is φ = 101100201010110.

The previous prime is 101100201010091. The next prime is 101100201010129. The reversal of 101100201010111 is 111010102001101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100201010111 - 2⁵ = 101100201010079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100201011111) 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, 50550100505055 + 50550100505056.

It is an arithmetic number, because the mean of its divisors is an integer number (50550100505056).

Almost surely, 2^{101100201010111} is an apocalyptic number.

101100201010111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100201010111 is an equidigital number, since it uses as much as digits as its factorization.

101100201010111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101100201010111 its reverse (111010102001101), we get a palindrome (212110303011212).

The spelling of 101100201010111 in words is "one hundred one trillion, one hundred billion, two hundred one million, ten thousand, one hundred eleven".