1016129561201 has 2 divisors, whose sum is σ = 1016129561202. Its totient is φ = 1016129561200.

The previous prime is 1016129561149. The next prime is 1016129561203. The reversal of 1016129561201 is 1021659216101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006009000000 + 10120561201 = 1003000^2 + 100601^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016129561201 - 2¹⁴ = 1016129544817 is a prime.

Together with 1016129561203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1016129561203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508064780600 + 508064780601.

It is an arithmetic number, because the mean of its divisors is an integer number (508064780601).

Almost surely, 2^{1016129561201} is an apocalyptic number.

It is an amenable number.

1016129561201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016129561201 is an equidigital number, since it uses as much as digits as its factorization.

1016129561201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 1016129561201 in words is "one trillion, sixteen billion, one hundred twenty-nine million, five hundred sixty-one thousand, two hundred one".