42100101 has 16 divisors (see below), whose sum is σ = 62654400. Its totient is φ = 27939024.

The previous prime is 42100087. The next prime is 42100103. The reversal of 42100101 is 10100124.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-42100101 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2695 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (3915900).

Almost surely, 2^42100101 is an apocalyptic number.

It is an amenable number.

42100101 is a deficient number, since it is larger than the sum of its proper divisors (20554299).

42100101 is a wasteful number, since it uses less digits than its factorization.

42100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105 (or 7099 counting only the distinct ones).

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

The square root of 42100101 is about 6488.4590620578. The cubic root of 42100101 is about 347.8785991521.

Adding to 42100101 its reverse (10100124), we get a palindrome (52200225).

The spelling of 42100101 in words is "forty-two million, one hundred thousand, one hundred one".