1010105160601 has 2 divisors, whose sum is σ = 1010105160602. Its totient is φ = 1010105160600.

The previous prime is 1010105160527. The next prime is 1010105160607. The reversal of 1010105160601 is 1060615010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008698835600 + 1406325001 = 1004340^2 + 37501^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010105160601 - 2¹³ = 1010105152409 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010105160607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505052580300 + 505052580301.

It is an arithmetic number, because the mean of its divisors is an integer number (505052580301).

Almost surely, 2^{1010105160601} is an apocalyptic number.

It is an amenable number.

1010105160601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010105160601 is an equidigital number, since it uses as much as digits as its factorization.

1010105160601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1010105160601 in words is "one trillion, ten billion, one hundred five million, one hundred sixty thousand, six hundred one".