100020011332021 has 6 divisors (see below), whose sum is σ = 109939351298966. Its totient is φ = 90927283029000.

The previous prime is 100020011331997. The next prime is 100020011332037. The reversal of 100020011332021 is 120233110020001.

It can be written as a sum of positive squares in only one way, i.e., 96402745880100 + 3617265451921 = 9818490^2 + 1901911^2 .

It is not a de Polignac number, because 100020011332021 - 2¹⁹ = 100020010807733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020011331986 and 100020011332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020011332921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413305831830 + ... + 413305832071.

Almost surely, 2^{100020011332021} is an apocalyptic number.

100020011332021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020011332021 is a deficient number, since it is larger than the sum of its proper divisors (9919339966945).

100020011332021 is an equidigital number, since it uses as much as digits as its factorization.

100020011332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826611663923 (or 826611663912 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100020011332021 its reverse (120233110020001), we get a palindrome (220253121352022).

The spelling of 100020011332021 in words is "one hundred trillion, twenty billion, eleven million, three hundred thirty-two thousand, twenty-one".