202102102002001 has 8 divisors (see below), whose sum is σ = 210989223858600. Its totient is φ = 193342852402560.

The previous prime is 202102102001983. The next prime is 202102102002023. The reversal of 202102102002001 is 100200201201202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29393486323776 + 172708615678225 = 5421576^2 + 13141865^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 202102102002001 - 2⁷ = 202102102001873 is a prime.

It is a super-3 number, since 3×202102102002001³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202102102002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31968061060 + ... + 31968067381.

It is an arithmetic number, because the mean of its divisors is an integer number (26373652982325).

Almost surely, 2^{202102102002001} is an apocalyptic number.

It is an amenable number.

202102102002001 is a deficient number, since it is larger than the sum of its proper divisors (8887121856599).

202102102002001 is a wasteful number, since it uses less digits than its factorization.

202102102002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63936128579.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202102102002001 its reverse (100200201201202), we get a palindrome (302302303203203).

The spelling of 202102102002001 in words is "two hundred two trillion, one hundred two billion, one hundred two million, two thousand, one".