100202000021 has 8 divisors (see below), whose sum is σ = 100744314840. Its totient is φ = 99661146112.

The previous prime is 100201999999. The next prime is 100202000047. The reversal of 100202000021 is 120000202001.

It can be written as a sum of positive squares in 4 ways, for example, as 21232569796 + 78969430225 = 145714^2 + 281015^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100202000021 - 2³⁰ = 99128258197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201999972 and 100202000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202009021) 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, 227540 + ... + 502173.

It is an arithmetic number, because the mean of its divisors is an integer number (12593039355).

Almost surely, 2^100202000021 is an apocalyptic number.

It is an amenable number.

100202000021 is a deficient number, since it is larger than the sum of its proper divisors (542314819).

100202000021 is an equidigital number, since it uses as much as digits as its factorization.

100202000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730455.

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

Adding to 100202000021 its reverse (120000202001), we get a palindrome (220202202022).

The spelling of 100202000021 in words is "one hundred billion, two hundred two million, twenty-one", and thus it is an aban number.