100102001 has 16 divisors (see below), whose sum is σ = 108673488. Its totient is φ = 91852800.

The previous prime is 100101973. The next prime is 100102019. The reversal of 100102001 is 100201001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8880400 + 91221601 = 2980^2 + 9551^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102001 - 2²² = 95907697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216911 + ... + 217371.

It is an arithmetic number, because the mean of its divisors is an integer number (6792093).

Almost surely, 2^100102001 is an apocalyptic number.

It is an amenable number.

100102001 is a deficient number, since it is larger than the sum of its proper divisors (8571487).

100102001 is a wasteful number, since it uses less digits than its factorization.

100102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

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

The square root of 100102001 is about 10005.0987501374. The cubic root of 100102001 is about 464.3166453014.

Adding to 100102001 its reverse (100201001), we get a palindrome (200303002).

The spelling of 100102001 in words is "one hundred million, one hundred two thousand, one".