201002021020001 has 8 divisors (see below), whose sum is σ = 205905818535144. Its totient is φ = 196098285847680.

The previous prime is 201002021019977. The next prime is 201002021020007. The reversal of 201002021020001 is 100020120200102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 497978616976 + 200504042403025 = 705676^2 + 14159945^2 .

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 201002021020001 - 2¹⁰ = 201002021018977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201002021020007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9025490 + ... + 21987803.

It is an arithmetic number, because the mean of its divisors is an integer number (25738227316893).

Almost surely, 2^{201002021020001} is an apocalyptic number.

It is an amenable number.

201002021020001 is a deficient number, since it is larger than the sum of its proper divisors (4903797515143).

201002021020001 is a wasteful number, since it uses less digits than its factorization.

201002021020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31171411.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201002021020001 its reverse (100020120200102), we get a palindrome (301022141220103).

The spelling of 201002021020001 in words is "two hundred one trillion, two billion, twenty-one million, twenty thousand, one".