10002146042164 has 18 divisors (see below), whose sum is σ = 18593954885030. Its totient is φ = 4706892254592.

The previous prime is 10002146042131. The next prime is 10002146042167. The reversal of 10002146042164 is 46124064120001.

It can be written as a sum of positive squares in 3 ways, for example, as 4812670688400 + 5189475353764 = 2193780^2 + 2278042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002146042167) 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 5 ways as a sum of consecutive naturals, for example, 4326186579 + ... + 4326188890.

Almost surely, 2^{10002146042164} is an apocalyptic number.

It is an amenable number.

10002146042164 is a deficient number, since it is larger than the sum of its proper divisors (8591808842866).

10002146042164 is a wasteful number, since it uses less digits than its factorization.

10002146042164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652375507 (or 8652375488 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 10002146042164 in words is "ten trillion, two billion, one hundred forty-six million, forty-two thousand, one hundred sixty-four".