102112002101029 has 2 divisors, whose sum is σ = 102112002101030. Its totient is φ = 102112002101028.

The previous prime is 102112002101027. The next prime is 102112002101143. The reversal of 102112002101029 is 920101200211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55230908062500 + 46881094038529 = 7431750^2 + 6846977^2 .

It is an emirp because it is prime and its reverse (920101200211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102112002101029 - 2¹ = 102112002101027 is a prime.

Together with 102112002101027, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112002101027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056001050514 + 51056001050515.

It is an arithmetic number, because the mean of its divisors is an integer number (51056001050515).

Almost surely, 2^{102112002101029} is an apocalyptic number.

It is an amenable number.

102112002101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112002101029 is an equidigital number, since it uses as much as digits as its factorization.

102112002101029 is an evil number, because the sum of its binary digits is even.

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

The spelling of 102112002101029 in words is "one hundred two trillion, one hundred twelve billion, two million, one hundred one thousand, twenty-nine".