202100100101 has 8 divisors (see below), whose sum is σ = 210130339320. Its totient is φ = 194140612288.

The previous prime is 202100100089. The next prime is 202100100119. The reversal of 202100100101 is 101001001202.

It can be written as a sum of positive squares in 4 ways, for example, as 26765287201 + 175334812900 = 163601^2 + 418730^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-202100100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17682026 + ... + 17693451.

It is an arithmetic number, because the mean of its divisors is an integer number (26266292415).

Almost surely, 2^202100100101 is an apocalyptic number.

It is an amenable number.

202100100101 is a deficient number, since it is larger than the sum of its proper divisors (8030239219).

202100100101 is a wasteful number, since it uses less digits than its factorization.

202100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35375703.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 202100100101 its reverse (101001001202), we get a palindrome (303101101303).

The spelling of 202100100101 in words is "two hundred two billion, one hundred million, one hundred thousand, one hundred one".