100202020101 has 12 divisors (see below), whose sum is σ = 145535901420. Its totient is φ = 66432277440.

The previous prime is 100202020081. The next prime is 100202020111. The reversal of 100202020101 is 101020202001.

It can be written as a sum of positive squares in 2 ways, for example, as 3076920900 + 97125099201 = 55470^2 + 311649^2 .

It is not a de Polignac number, because 100202020101 - 2¹⁰ = 100202019077 is a prime.

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 (100202020111) 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 11 ways as a sum of consecutive naturals, for example, 30754056 + ... + 30757313.

It is an arithmetic number, because the mean of its divisors is an integer number (12127991785).

Almost surely, 2^100202020101 is an apocalyptic number.

It is an amenable number.

100202020101 is a deficient number, since it is larger than the sum of its proper divisors (45333881319).

100202020101 is a wasteful number, since it uses less digits than its factorization.

100202020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61511556 (or 61511553 counting only the distinct ones).

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

Adding to 100202020101 its reverse (101020202001), we get a palindrome (201222222102).

It can be divided in two parts, 1002020 and 20101, that added together give a square (1022121 = 1011²).

The spelling of 100202020101 in words is "one hundred billion, two hundred two million, twenty thousand, one hundred one".