101100021110111 has 2 divisors, whose sum is σ = 101100021110112. Its totient is φ = 101100021110110.

The previous prime is 101100021110057. The next prime is 101100021110113. The reversal of 101100021110111 is 111011120001101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100021110111 - 2³⁸ = 100825143203167 is a prime.

Together with 101100021110113, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100021110092 and 101100021110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100021110113) 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, 50550010555055 + 50550010555056.

It is an arithmetic number, because the mean of its divisors is an integer number (50550010555056).

Almost surely, 2^{101100021110111} is an apocalyptic number.

101100021110111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100021110111 is an equidigital number, since it uses as much as digits as its factorization.

101100021110111 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 11.

Adding to 101100021110111 its reverse (111011120001101), we get a palindrome (212111141111212).

The spelling of 101100021110111 in words is "one hundred one trillion, one hundred billion, twenty-one million, one hundred ten thousand, one hundred eleven".