202000102001 has 8 divisors (see below), whose sum is σ = 202126114344. Its totient is φ = 201874135680.

The previous prime is 202000101971. The next prime is 202000102009. The reversal of 202000102001 is 100201000202.

It can be written as a sum of positive squares in 4 ways, for example, as 72670680625 + 129329421376 = 269575^2 + 359624^2 .

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-202000102001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202000102001.

It is not an unprimeable number, because it can be changed into a prime (202000102009) 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, 12714875 + ... + 12730751.

It is an arithmetic number, because the mean of its divisors is an integer number (25265764293).

Almost surely, 2^202000102001 is an apocalyptic number.

It is an amenable number.

202000102001 is a deficient number, since it is larger than the sum of its proper divisors (126012343).

202000102001 is a wasteful number, since it uses less digits than its factorization.

202000102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23011.

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

Adding to 202000102001 its reverse (100201000202), we get a palindrome (302201102203).

The spelling of 202000102001 in words is "two hundred two billion, one hundred two thousand, one".