10114101 has 12 divisors (see below), whose sum is σ = 14665612. Its totient is φ = 6716736.

The previous prime is 10114081. The next prime is 10114129. The reversal of 10114101 is 10141101.

It can be written as a sum of positive squares in 2 ways, for example, as 3348900 + 6765201 = 1830^2 + 2601^2 .

It is not a de Polignac number, because 10114101 - 2¹⁵ = 10081333 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114141) 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 11 ways as a sum of consecutive naturals, for example, 465 + ... + 4521.

Almost surely, 2^10114101 is an apocalyptic number.

It is an amenable number.

10114101 is a deficient number, since it is larger than the sum of its proper divisors (4551511).

10114101 is a wasteful number, since it uses less digits than its factorization.

10114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 10114101 is about 3180.2674415841. The cubic root of 10114101 is about 216.2597825995.

Adding to 10114101 its reverse (10141101), we get a palindrome (20255202).

Subtracting 10114101 from its reverse (10141101), we obtain a cube (27000 = 30³).

The spelling of 10114101 in words is "ten million, one hundred fourteen thousand, one hundred one".