10042165265121 has 12 divisors (see below), whose sum is σ = 15824017993680. Its totient is φ = 6086160766680.

The previous prime is 10042165265101. The next prime is 10042165265123. The reversal of 10042165265121 is 12156256124001.

10042165265121 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 1 + 6 + 526 + 5 + 121 = 666.

It is not a de Polignac number, because 10042165265121 - 2⁶ = 10042165265057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042165265123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50718006291 + ... + 50718006488.

It is an arithmetic number, because the mean of its divisors is an integer number (1318668166140).

Almost surely, 2^{10042165265121} is an apocalyptic number.

10042165265121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042165265121 is a deficient number, since it is larger than the sum of its proper divisors (5781852728559).

10042165265121 is a wasteful number, since it uses less digits than its factorization.

10042165265121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101436012796 (or 101436012793 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10042165265121 in words is "ten trillion, forty-two billion, one hundred sixty-five million, two hundred sixty-five thousand, one hundred twenty-one".