101220100108129 has 2 divisors, whose sum is σ = 101220100108130. Its totient is φ = 101220100108128.

The previous prime is 101220100108121. The next prime is 101220100108177. The reversal of 101220100108129 is 921801001022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101057320136529 + 162779971600 = 10052727^2 + 403460^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220100108129 - 2³ = 101220100108121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220100108097 and 101220100108106.

It is not a weakly prime, because it can be changed into another prime (101220100108121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610050054064 + 50610050054065.

It is an arithmetic number, because the mean of its divisors is an integer number (50610050054065).

Almost surely, 2^{101220100108129} is an apocalyptic number.

It is an amenable number.

101220100108129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220100108129 is an equidigital number, since it uses as much as digits as its factorization.

101220100108129 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 28.

The spelling of 101220100108129 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, one hundred eight thousand, one hundred twenty-nine".