4042401042101 has 2 divisors, whose sum is σ = 4042401042102. Its totient is φ = 4042401042100.

The previous prime is 4042401042067. The next prime is 4042401042133. The reversal of 4042401042101 is 1012401042404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4036040820100 + 6360222001 = 2008990^2 + 79751^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042401042101 - 2¹⁸ = 4042400779957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042401042151) 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 as a sum of consecutive naturals, namely, 2021200521050 + 2021200521051.

It is an arithmetic number, because the mean of its divisors is an integer number (2021200521051).

Almost surely, 2^{4042401042101} is an apocalyptic number.

It is an amenable number.

4042401042101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042401042101 is an equidigital number, since it uses as much as digits as its factorization.

4042401042101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 4042401042101 its reverse (1012401042404), we get a palindrome (5054802084505).

The spelling of 4042401042101 in words is "four trillion, forty-two billion, four hundred one million, forty-two thousand, one hundred one".