42010101 has 18 divisors (see below), whose sum is σ = 70589142. Its totient is φ = 24005520.

The previous prime is 42010063. The next prime is 42010127. The reversal of 42010101 is 10101024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 27562500 + 14447601 = 5250^2 + 3801^2 .

It is not a de Polignac number, because 42010101 - 2⁶ = 42010037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

42010101 is a modest number, since divided by 10101 gives 42 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47190 + ... + 48071.

It is an arithmetic number, because the mean of its divisors is an integer number (3921619).

Almost surely, 2^42010101 is an apocalyptic number.

It is an amenable number.

42010101 is a deficient number, since it is larger than the sum of its proper divisors (28579041).

42010101 is a wasteful number, since it uses less digits than its factorization.

42010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95281 (or 95271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 42010101 is about 6481.5199606265. The cubic root of 42010101 is about 347.6305284019.

Adding to 42010101 its reverse (10101024), we get a palindrome (52111125).

The spelling of 42010101 in words is "forty-two million, ten thousand, one hundred one".