10121131232129 has 2 divisors, whose sum is σ = 10121131232130. Its totient is φ = 10121131232128.

The previous prime is 10121131232071. The next prime is 10121131232159. The reversal of 10121131232129 is 92123213112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8642706263104 + 1478424969025 = 2939848^2 + 1215905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121131232129 - 2²⁰ = 10121130183553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121131232159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060565616064 + 5060565616065.

It is an arithmetic number, because the mean of its divisors is an integer number (5060565616065).

Almost surely, 2^{10121131232129} is an apocalyptic number.

It is an amenable number.

10121131232129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121131232129 is an equidigital number, since it uses as much as digits as its factorization.

10121131232129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 10121131232129 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty-nine".