102111020120029 has 2 divisors, whose sum is σ = 102111020120030. Its totient is φ = 102111020120028.

The previous prime is 102111020120003. The next prime is 102111020120033. The reversal of 102111020120029 is 920021020111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99858250268100 + 2252769851929 = 9992910^2 + 1500923^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111020120029 - 2²¹ = 102111018022877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111020119991 and 102111020120009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111020120099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055510060014 + 51055510060015.

It is an arithmetic number, because the mean of its divisors is an integer number (51055510060015).

Almost surely, 2^{102111020120029} is an apocalyptic number.

It is an amenable number.

102111020120029 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111020120029 is an equidigital number, since it uses as much as digits as its factorization.

102111020120029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 102111020120029 in words is "one hundred two trillion, one hundred eleven billion, twenty million, one hundred twenty thousand, twenty-nine".