100202010010101 has 12 divisors (see below), whose sum is σ = 148266388795980. Its totient is φ = 65172039030720.

The previous prime is 100202010010061. The next prime is 100202010010129. The reversal of 100202010010101 is 101010010202001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33480966803076 + 66721043207025 = 5786274^2 + 8168295^2 .

It is not a de Polignac number, because 100202010010101 - 2⁷ = 100202010009973 is a prime.

It is a super-2 number, since 2×100202010010101² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202010010601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135775080946 + ... + 135775081683.

It is an arithmetic number, because the mean of its divisors is an integer number (12355532399665).

Almost surely, 2^{100202010010101} is an apocalyptic number.

It is an amenable number.

100202010010101 is a deficient number, since it is larger than the sum of its proper divisors (48064378785879).

100202010010101 is a wasteful number, since it uses less digits than its factorization.

100202010010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271550162676 (or 271550162673 counting only the distinct ones).

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

Adding to 100202010010101 its reverse (101010010202001), we get a palindrome (201212020212102).

The spelling of 100202010010101 in words is "one hundred trillion, two hundred two billion, ten million, ten thousand, one hundred one".