10042100100101 has 8 divisors (see below), whose sum is σ = 10050514743360. Its totient is φ = 10033687989792.

The previous prime is 10042100100089. The next prime is 10042100100119. The reversal of 10042100100101 is 10100100124001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10042100100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042100100001) 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 7 ways as a sum of consecutive naturals, for example, 7341266 + ... + 8601068.

It is an arithmetic number, because the mean of its divisors is an integer number (1256314342920).

Almost surely, 2^{10042100100101} is an apocalyptic number.

It is an amenable number.

10042100100101 is a deficient number, since it is larger than the sum of its proper divisors (8414643259).

10042100100101 is a wasteful number, since it uses less digits than its factorization.

10042100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266475.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10042100100101 its reverse (10100100124001), we get a palindrome (20142200224102).

The spelling of 10042100100101 in words is "ten trillion, forty-two billion, one hundred million, one hundred thousand, one hundred one".