10002142200546 has 24 divisors (see below), whose sum is σ = 21674268543564. Its totient is φ = 3333591947520.

The previous prime is 10002142200541. The next prime is 10002142200551. The reversal of 10002142200546 is 64500224120001.

10002142200546 is a `hidden beast` number, since 100 + 0 + 2 + 14 + 2 + 2 + 0 + 0 + 546 = 666.

It is an interprime number because it is at equal distance from previous prime (10002142200541) and next prime (10002142200551).

It can be written as a sum of positive squares in 2 ways, for example, as 9944000934921 + 58141265625 = 3153411^2 + 241125^2 .

It is not an unprimeable number, because it can be changed into a prime (10002142200541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37818951 + ... + 38082506.

Almost surely, 2^{10002142200546} is an apocalyptic number.

10002142200546 is an abundant number, since it is smaller than the sum of its proper divisors (11672126343018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002142200546 is a wasteful number, since it uses less digits than its factorization.

10002142200546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75908786 (or 75908783 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10002142200546 its reverse (64500224120001), we get a palindrome (74502366320547).

The spelling of 10002142200546 in words is "ten trillion, two billion, one hundred forty-two million, two hundred thousand, five hundred forty-six".