100122020122129 has 2 divisors, whose sum is σ = 100122020122130. Its totient is φ = 100122020122128.

The previous prime is 100122020122079. The next prime is 100122020122291. The reversal of 100122020122129 is 921221020221001.

It is a happy number.

Together with next prime (100122020122291) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99280837656529 + 841182465600 = 9963977^2 + 917160^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122020122129 - 2²³ = 100122011733521 is a prime.

It is a super-3 number, since 3×100122020122129³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100122020123129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010061064 + 50061010061065.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010061065).

Almost surely, 2^{100122020122129} is an apocalyptic number.

It is an amenable number.

100122020122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122020122129 is an equidigital number, since it uses as much as digits as its factorization.

100122020122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 100122020122129 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred twenty-two thousand, one hundred twenty-nine".