110111001011021 has 2 divisors, whose sum is σ = 110111001011022. Its totient is φ = 110111001011020.

The previous prime is 110111001011009. The next prime is 110111001011023. The reversal of 110111001011021 is 120110100111011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86990877072100 + 23120123938921 = 9326890^2 + 4808339^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111001011021 - 2¹⁸ = 110111000748877 is a prime.

Together with 110111001011023, 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 = 110111001010993 and 110111001011011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111001011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055500505510 + 55055500505511.

It is an arithmetic number, because the mean of its divisors is an integer number (55055500505511).

Almost surely, 2^{110111001011021} is an apocalyptic number.

It is an amenable number.

110111001011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111001011021 is an equidigital number, since it uses as much as digits as its factorization.

110111001011021 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 110111001011021 its reverse (120110100111011), we get a palindrome (230221101122032).

The spelling of 110111001011021 in words is "one hundred ten trillion, one hundred eleven billion, one million, eleven thousand, twenty-one".