101022110129 has 2 divisors, whose sum is σ = 101022110130. Its totient is φ = 101022110128.

The previous prime is 101022110099. The next prime is 101022110149. The reversal of 101022110129 is 921011220101.

It is an a-pointer prime, because the next prime (101022110149) can be obtained adding 101022110129 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83952165025 + 17069945104 = 289745^2 + 130652^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022110129 - 2⁸ = 101022109873 is a prime.

It is a super-3 number, since 3×101022110129³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101022110129.

It is not a weakly prime, because it can be changed into another prime (101022110149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511055064 + 50511055065.

It is an arithmetic number, because the mean of its divisors is an integer number (50511055065).

Almost surely, 2^101022110129 is an apocalyptic number.

It is an amenable number.

101022110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022110129 is an equidigital number, since it uses as much as digits as its factorization.

101022110129 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 20.

The spelling of 101022110129 in words is "one hundred one billion, twenty-two million, one hundred ten thousand, one hundred twenty-nine".