202100003001 has 24 divisors (see below), whose sum is σ = 315310715720. Its totient is φ = 124000160256.

The previous prime is 202100002999. The next prime is 202100003033. The reversal of 202100003001 is 100300001202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34881165225 + 167218837776 = 186765^2 + 408924^2 .

It is not a de Polignac number, because 202100003001 - 2¹ = 202100002999 is a prime.

It is a super-2 number, since 2×202100003001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202100003051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2523406 + ... + 2602263.

Almost surely, 2^202100003001 is an apocalyptic number.

It is an amenable number.

202100003001 is a deficient number, since it is larger than the sum of its proper divisors (113210712719).

202100003001 is a wasteful number, since it uses less digits than its factorization.

202100003001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126025 (or 5126022 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 202100003001 its reverse (100300001202), we get a palindrome (302400004203).

The spelling of 202100003001 in words is "two hundred two billion, one hundred million, three thousand, one".