10421413414129 has 2 divisors, whose sum is σ = 10421413414130. Its totient is φ = 10421413414128.

The previous prime is 10421413414103. The next prime is 10421413414151. The reversal of 10421413414129 is 92141431412401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6164817239025 + 4256596175104 = 2482905^2 + 2063152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10421413414129 - 2¹³ = 10421413405937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10421413412129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5210706707064 + 5210706707065.

It is an arithmetic number, because the mean of its divisors is an integer number (5210706707065).

Almost surely, 2^{10421413414129} is an apocalyptic number.

It is an amenable number.

10421413414129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10421413414129 is an equidigital number, since it uses as much as digits as its factorization.

10421413414129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 10421413414129 in words is "ten trillion, four hundred twenty-one billion, four hundred thirteen million, four hundred fourteen thousand, one hundred twenty-nine".