100220001202129 has 2 divisors, whose sum is σ = 100220001202130. Its totient is φ = 100220001202128.

The previous prime is 100220001202067. The next prime is 100220001202133. The reversal of 100220001202129 is 921202100022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71408871442129 + 28811129760000 = 8450377^2 + 5367600^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220001202129 - 2²¹ = 100219999104977 is a prime.

It is a super-2 number, since 2×100220001202129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100220001202229) 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, 50110000601064 + 50110000601065.

It is an arithmetic number, because the mean of its divisors is an integer number (50110000601065).

Almost surely, 2^{100220001202129} is an apocalyptic number.

It is an amenable number.

100220001202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220001202129 is an equidigital number, since it uses as much as digits as its factorization.

100220001202129 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 100220001202129 in words is "one hundred trillion, two hundred twenty billion, one million, two hundred two thousand, one hundred twenty-nine".