110223311032129 has 2 divisors, whose sum is σ = 110223311032130. Its totient is φ = 110223311032128.

The previous prime is 110223311032127. The next prime is 110223311032139. The reversal of 110223311032129 is 921230113322011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102019554823729 + 8203756208400 = 10100473^2 + 2864220^2 .

It is a cyclic number.

It is not a de Polignac number, because 110223311032129 - 2¹ = 110223311032127 is a prime.

Together with 110223311032127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 110223311032129.

It is not a weakly prime, because it can be changed into another prime (110223311032123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55111655516064 + 55111655516065.

It is an arithmetic number, because the mean of its divisors is an integer number (55111655516065).

Almost surely, 2^{110223311032129} is an apocalyptic number.

It is an amenable number.

110223311032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110223311032129 is an equidigital number, since it uses as much as digits as its factorization.

110223311032129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 110223311032129 in words is "one hundred ten trillion, two hundred twenty-three billion, three hundred eleven million, thirty-two thousand, one hundred twenty-nine".