42120101 has 8 divisors (see below), whose sum is σ = 44662104. Its totient is φ = 39585280.

The previous prime is 42120083. The next prime is 42120119. The reversal of 42120101 is 10102124.

It is a Cunningham number, because it is equal to 6490²+1.

It is an interprime number because it is at equal distance from previous prime (42120083) and next prime (42120119).

It can be written as a sum of positive squares in 4 ways, for example, as 6895876 + 35224225 = 2626^2 + 5935^2 .

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 42120101 - 2¹⁸ = 41857957 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 (42120191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14681 + ... + 17313.

It is an arithmetic number, because the mean of its divisors is an integer number (5582763).

Almost surely, 2^42120101 is an apocalyptic number.

It is an amenable number.

42120101 is a deficient number, since it is larger than the sum of its proper divisors (2542003).

42120101 is a wasteful number, since it uses less digits than its factorization.

42120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 42120101 is about 6490.0000770416. Note that the first 4 decimals coincide. The cubic root of 42120101 is about 347.9336779631.

Adding to 42120101 its reverse (10102124), we get a palindrome (52222225).

The spelling of 42120101 in words is "forty-two million, one hundred twenty thousand, one hundred one".