100021120020 has 36 divisors (see below), whose sum is σ = 303397397940. Its totient is φ = 26672298624.

The previous prime is 100021119959. The next prime is 100021120051. The reversal of 100021120020 is 20021120001.

It can be written as a sum of positive squares in 2 ways, for example, as 14647292676 + 85373827344 = 121026^2 + 292188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100021119984 and 100021120011.

It is a congruent number.

It is an unprimeable number.

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, 277836265 + ... + 277836624.

Almost surely, 2^100021120020 is an apocalyptic number.

100021120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021120020 is an abundant number, since it is smaller than the sum of its proper divisors (203376277920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021120020 is a wasteful number, since it uses less digits than its factorization.

100021120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555672904 (or 555672899 counting only the distinct ones).

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

Adding to 100021120020 its reverse (20021120001), we get a palindrome (120042240021).

The spelling of 100021120020 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, twenty".