210122210110129 has 2 divisors, whose sum is σ = 210122210110130. Its totient is φ = 210122210110128.

The previous prime is 210122210110097. The next prime is 210122210110223. The reversal of 210122210110129 is 921011012221012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157898751613729 + 52223458496400 = 12565777^2 + 7226580^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122210110129 - 2⁵ = 210122210110097 is a prime.

It is a super-3 number, since 3×210122210110129³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (210122210110229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105061105055064 + 105061105055065.

It is an arithmetic number, because the mean of its divisors is an integer number (105061105055065).

Almost surely, 2^{210122210110129} is an apocalyptic number.

It is an amenable number.

210122210110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122210110129 is an equidigital number, since it uses as much as digits as its factorization.

210122210110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 210122210110129 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred ten thousand, one hundred twenty-nine".