111122100201029 has 2 divisors, whose sum is σ = 111122100201030. Its totient is φ = 111122100201028.

The previous prime is 111122100200983. The next prime is 111122100201031. The reversal of 111122100201029 is 920102001221111.

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., 64529121132004 + 46592979069025 = 8033002^2 + 6825905^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122100201029 - 2²⁰ = 111122099152453 is a prime.

Together with 111122100201031, 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 = 111122100200995 and 111122100201013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111122100204029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561050100514 + 55561050100515.

It is an arithmetic number, because the mean of its divisors is an integer number (55561050100515).

Almost surely, 2^{111122100201029} is an apocalyptic number.

It is an amenable number.

111122100201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122100201029 is an equidigital number, since it uses as much as digits as its factorization.

111122100201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 111122100201029 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred million, two hundred one thousand, twenty-nine".