100100202021 has 12 divisors (see below), whose sum is σ = 147317279148. Its totient is φ = 65474345664.

The previous prime is 100100201959. The next prime is 100100202061. The reversal of 100100202021 is 120202001001.

It can be written as a sum of positive squares in 2 ways, for example, as 34638420996 + 65461781025 = 186114^2 + 255855^2 .

It is not a de Polignac number, because 100100202021 - 2¹¹ = 100100199973 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100201994 and 100100202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100202061) 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, 104926360 + ... + 104927313.

It is an arithmetic number, because the mean of its divisors is an integer number (12276439929).

Almost surely, 2^100100202021 is an apocalyptic number.

It is an amenable number.

100100202021 is a deficient number, since it is larger than the sum of its proper divisors (47217077127).

100100202021 is a wasteful number, since it uses less digits than its factorization.

100100202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209853732 (or 209853729 counting only the distinct ones).

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

Adding to 100100202021 its reverse (120202001001), we get a palindrome (220302203022).

The spelling of 100100202021 in words is "one hundred billion, one hundred million, two hundred two thousand, twenty-one".