10101017905049 has 2 divisors, whose sum is σ = 10101017905050. Its totient is φ = 10101017905048.

The previous prime is 10101017904959. The next prime is 10101017905109. The reversal of 10101017905049 is 94050971010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9571969699600 + 529048205449 = 3093860^2 + 727357^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101017905049 - 2³² = 10096722937753 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101017904049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050508952524 + 5050508952525.

It is an arithmetic number, because the mean of its divisors is an integer number (5050508952525).

Almost surely, 2^{10101017905049} is an apocalyptic number.

It is an amenable number.

10101017905049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101017905049 is an equidigital number, since it uses as much as digits as its factorization.

10101017905049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 38.

The spelling of 10101017905049 in words is "ten trillion, one hundred one billion, seventeen million, nine hundred five thousand, forty-nine".