10042101 has 6 divisors (see below), whose sum is σ = 14505270. Its totient is φ = 6694728.

The previous prime is 10042093. The next prime is 10042103. The reversal of 10042101 is 10124001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8259876 + 1782225 = 2874^2 + 1335^2 .

It is not a de Polignac number, because 10042101 - 2³ = 10042093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1115789 = 10042101 / (1 + 0 + 0 + 4 + 2 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557886 + ... + 557903.

It is an arithmetic number, because the mean of its divisors is an integer number (2417545).

Almost surely, 2^10042101 is an apocalyptic number.

It is an amenable number.

10042101 is a deficient number, since it is larger than the sum of its proper divisors (4463169).

10042101 is a wasteful number, since it uses less digits than its factorization.

10042101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115795 (or 1115792 counting only the distinct ones).

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

The square root of 10042101 is about 3168.9274210685. The cubic root of 10042101 is about 215.7453918732.

Adding to 10042101 its reverse (10124001), we get a palindrome (20166102).

The spelling of 10042101 in words is "ten million, forty-two thousand, one hundred one".