110221012202129 has 2 divisors, whose sum is σ = 110221012202130. Its totient is φ = 110221012202128.

The previous prime is 110221012202111. The next prime is 110221012202369. The reversal of 110221012202129 is 921202210122011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99140255886400 + 11080756315729 = 9956920^2 + 3328777^2 .

It is a cyclic number.

It is not a de Polignac number, because 110221012202129 - 2⁸ = 110221012201873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110221012202098 and 110221012202107.

It is not a weakly prime, because it can be changed into another prime (110221012202029) 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, 55110506101064 + 55110506101065.

It is an arithmetic number, because the mean of its divisors is an integer number (55110506101065).

Almost surely, 2^{110221012202129} is an apocalyptic number.

It is an amenable number.

110221012202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221012202129 is an equidigital number, since it uses as much as digits as its factorization.

110221012202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 110221012202129 in words is "one hundred ten trillion, two hundred twenty-one billion, twelve million, two hundred two thousand, one hundred twenty-nine".