101222020129 has 2 divisors, whose sum is σ = 101222020130. Its totient is φ = 101222020128.

The previous prime is 101222020093. The next prime is 101222020147. The reversal of 101222020129 is 921020222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98194489600 + 3027530529 = 313360^2 + 55023^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222020129 - 2⁷ = 101222020001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101222020169) 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, 50611010064 + 50611010065.

It is an arithmetic number, because the mean of its divisors is an integer number (50611010065).

Almost surely, 2^101222020129 is an apocalyptic number.

It is an amenable number.

101222020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222020129 is an equidigital number, since it uses as much as digits as its factorization.

101222020129 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 22.

The spelling of 101222020129 in words is "one hundred one billion, two hundred twenty-two million, twenty thousand, one hundred twenty-nine".