42101242000993 has 8 divisors (see below), whose sum is σ = 48152802845312. Its totient is φ = 36058955582016.

The previous prime is 42101242000933. The next prime is 42101242001017. The reversal of 42101242000993 is 39900024210124.

42101242000993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 42101242000993 - 2³⁷ = 41963803047521 is a prime.

It is a super-2 number, since 2×42101242000993² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42101242000933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318596605 + ... + 2318614762.

It is an arithmetic number, because the mean of its divisors is an integer number (6019100355664).

Almost surely, 2^{42101242000993} is an apocalyptic number.

It is an amenable number.

42101242000993 is a deficient number, since it is larger than the sum of its proper divisors (6051560844319).

42101242000993 is a wasteful number, since it uses less digits than its factorization.

42101242000993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637212671.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 42101242000993 in words is "forty-two trillion, one hundred one billion, two hundred forty-two million, nine hundred ninety-three", and thus it is an aban number.