200210100101001 has 12 divisors (see below), whose sum is σ = 293933225285700. Its totient is φ = 131285311541280.

The previous prime is 200210100100961. The next prime is 200210100101017. The reversal of 200210100101001 is 100101001012002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76427809290000 + 123782290811001 = 8742300^2 + 11125749^2 .

It is not a de Polignac number, because 200210100101001 - 2³¹ = 200207952617353 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 (200210100101041) 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, 182340709926 + ... + 182340711023.

It is an arithmetic number, because the mean of its divisors is an integer number (24494435440475).

Almost surely, 2^{200210100101001} is an apocalyptic number.

It is an amenable number.

200210100101001 is a deficient number, since it is larger than the sum of its proper divisors (93723125184699).

200210100101001 is a wasteful number, since it uses less digits than its factorization.

200210100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364681421016 (or 364681421013 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200210100101001 its reverse (100101001012002), we get a palindrome (300311101113003).

The spelling of 200210100101001 in words is "two hundred trillion, two hundred ten billion, one hundred million, one hundred one thousand, one".