102123122200129 has 2 divisors, whose sum is σ = 102123122200130. Its totient is φ = 102123122200128.

The previous prime is 102123122200117. The next prime is 102123122200163. The reversal of 102123122200129 is 921002221321201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95290005955600 + 6833116244529 = 9761660^2 + 2614023^2 .

It is a cyclic number.

It is not a de Polignac number, because 102123122200129 - 2⁴¹ = 99924098944577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102123122200097 and 102123122200106.

It is not a weakly prime, because it can be changed into another prime (102123122200529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061561100064 + 51061561100065.

It is an arithmetic number, because the mean of its divisors is an integer number (51061561100065).

Almost surely, 2^{102123122200129} is an apocalyptic number.

It is an amenable number.

102123122200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102123122200129 is an equidigital number, since it uses as much as digits as its factorization.

102123122200129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 102123122200129 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-nine".