100010202021 has 12 divisors (see below), whose sum is σ = 148363483372. Its totient is φ = 64871482176.

The previous prime is 100010201999. The next prime is 100010202043. The reversal of 100010202021 is 120202010001.

It is an interprime number because it is at equal distance from previous prime (100010201999) and next prime (100010202043).

It can be written as a sum of positive squares in 2 ways, for example, as 61944240996 + 38065961025 = 248886^2 + 195105^2 .

It is not a de Polignac number, because 100010202021 - 2¹⁷ = 100010070949 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010201994 and 100010202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010202421) 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, 150165136 + ... + 150165801.

Almost surely, 2^100010202021 is an apocalyptic number.

It is an amenable number.

100010202021 is a deficient number, since it is larger than the sum of its proper divisors (48353281351).

100010202021 is a wasteful number, since it uses less digits than its factorization.

100010202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300330980 (or 300330977 counting only the distinct ones).

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

Adding to 100010202021 its reverse (120202010001), we get a palindrome (220212212022).

The spelling of 100010202021 in words is "one hundred billion, ten million, two hundred two thousand, twenty-one".