10102001 has 16 divisors (see below), whose sum is σ = 12837888. Its totient is φ = 7732800.

The previous prime is 10101979. The next prime is 10102003. The reversal of 10102001 is 10020101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10102001 - 2¹⁸ = 9839857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10102003) 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 15 ways as a sum of consecutive naturals, for example, 1031 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (802368).

Almost surely, 2^10102001 is an apocalyptic number.

It is an amenable number.

10102001 is a deficient number, since it is larger than the sum of its proper divisors (2735887).

10102001 is a wasteful number, since it uses less digits than its factorization.

10102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10102001 is about 3178.3645165399. The cubic root of 10102001 is about 216.1735074221.

Adding to 10102001 its reverse (10020101), we get a palindrome (20122102).

Multiplying 10102001 by its reverse (10020101), we get a palindrome (101223070322101).

The spelling of 10102001 in words is "ten million, one hundred two thousand, one".