111201011021029 has 2 divisors, whose sum is σ = 111201011021030. Its totient is φ = 111201011021028.

The previous prime is 111201011021003. The next prime is 111201011021047. The reversal of 111201011021029 is 920120110102111.

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., 92186440296129 + 19014570724900 = 9601377^2 + 4360570^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201011021029 - 2²¹ = 111201008923877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111201011021929) 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, 55600505510514 + 55600505510515.

It is an arithmetic number, because the mean of its divisors is an integer number (55600505510515).

Almost surely, 2^{111201011021029} is an apocalyptic number.

It is an amenable number.

111201011021029 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201011021029 is an equidigital number, since it uses as much as digits as its factorization.

111201011021029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 111201011021029 in words is "one hundred eleven trillion, two hundred one billion, eleven million, twenty-one thousand, twenty-nine".