10142205375889 has 2 divisors, whose sum is σ = 10142205375890. Its totient is φ = 10142205375888.

The previous prime is 10142205375767. The next prime is 10142205375931. The reversal of 10142205375889 is 98857350224101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6291945140625 + 3850260235264 = 2508375^2 + 1962208^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142205375889 - 2¹⁵ = 10142205343121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142205315889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071102687944 + 5071102687945.

It is an arithmetic number, because the mean of its divisors is an integer number (5071102687945).

Almost surely, 2^{10142205375889} is an apocalyptic number.

It is an amenable number.

10142205375889 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142205375889 is an equidigital number, since it uses as much as digits as its factorization.

10142205375889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 10142205375889 in words is "ten trillion, one hundred forty-two billion, two hundred five million, three hundred seventy-five thousand, eight hundred eighty-nine".