100102120201 has 8 divisors (see below), whose sum is σ = 101164120200. Its totient is φ = 99041510400.

The previous prime is 100102120177. The next prime is 100102120211. The reversal of 100102120201 is 102021201001.

It can be written as a sum of positive squares in 4 ways, for example, as 31266726976 + 68835393225 = 176824^2 + 262365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102120201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202456 + ... + 491113.

It is an arithmetic number, because the mean of its divisors is an integer number (12645515025).

Almost surely, 2^100102120201 is an apocalyptic number.

It is an amenable number.

100102120201 is a deficient number, since it is larger than the sum of its proper divisors (1061999999).

100102120201 is a wasteful number, since it uses less digits than its factorization.

100102120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695099.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102120201 its reverse (102021201001), we get a palindrome (202123321202).

The spelling of 100102120201 in words is "one hundred billion, one hundred two million, one hundred twenty thousand, two hundred one".