100011021000020 has 48 divisors (see below), whose sum is σ = 226206722785680. Its totient is φ = 36922582588416.

The previous prime is 100011021000017. The next prime is 100011021000041. The reversal of 100011021000020 is 20000120110001.

It can be written as a sum of positive squares in 8 ways, for example, as 5697749904016 + 94313271096004 = 2386996^2 + 9711502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100011020999971 and 100011021000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21660665 + ... + 25869024.

It is an arithmetic number, because the mean of its divisors is an integer number (4712640058035).

Almost surely, 2^{100011021000020} is an apocalyptic number.

100011021000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011021000020 is an abundant number, since it is smaller than the sum of its proper divisors (126195701785660).

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

100011021000020 is a wasteful number, since it uses less digits than its factorization.

100011021000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47537804 (or 47537802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100011021000020 its reverse (20000120110001), we get a palindrome (120011141110021).

The spelling of 100011021000020 in words is "one hundred trillion, eleven billion, twenty-one million, twenty", and thus it is an aban number.