1000202100201 has 12 divisors (see below), whose sum is σ = 1468420570500. Its totient is φ = 655870229280.

The previous prime is 1000202100173. The next prime is 1000202100217. The reversal of 1000202100201 is 1020012020001.

It can be written as a sum of positive squares in 2 ways, for example, as 32418362601 + 967783737600 = 180051^2 + 983760^2 .

It is not a de Polignac number, because 1000202100201 - 2¹⁰ = 1000202099177 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1000202100221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910930326 + ... + 910931423.

It is an arithmetic number, because the mean of its divisors is an integer number (122368380875).

Almost surely, 2^{1000202100201} is an apocalyptic number.

It is an amenable number.

1000202100201 is a deficient number, since it is larger than the sum of its proper divisors (468218470299).

1000202100201 is a wasteful number, since it uses less digits than its factorization.

1000202100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821861816 (or 1821861813 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000202100201 its reverse (1020012020001), we get a palindrome (2020214120202).

The spelling of 1000202100201 in words is "one trillion, two hundred two million, one hundred thousand, two hundred one".