42402100121001 has 12 divisors (see below), whose sum is σ = 62902815195012. Its totient is φ = 27504064943136.

The previous prime is 42402100120957. The next prime is 42402100121021. The reversal of 42402100121001 is 10012100120424.

42402100121001 is a `hidden beast` number, since 4 + 240 + 210 + 0 + 1 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19495969099776 + 22906131021225 = 4415424^2 + 4786035^2 .

It is not a de Polignac number, because 42402100121001 - 2⁹ = 42402100120489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42402100121021) 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, 63666816666 + ... + 63666817331.

It is an arithmetic number, because the mean of its divisors is an integer number (5241901266251).

Almost surely, 2^{42402100121001} is an apocalyptic number.

It is an amenable number.

42402100121001 is a deficient number, since it is larger than the sum of its proper divisors (20500715074011).

42402100121001 is a wasteful number, since it uses less digits than its factorization.

42402100121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127333634040 (or 127333634037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42402100121001 its reverse (10012100120424), we get a palindrome (52414200241425).

The spelling of 42402100121001 in words is "forty-two trillion, four hundred two billion, one hundred million, one hundred twenty-one thousand, one".