100011201000020 has 24 divisors (see below), whose sum is σ = 210042153241704. Its totient is φ = 40000931611136.

The previous prime is 100011201000017. The next prime is 100011201000097. The reversal of 100011201000020 is 20000102110001.

It can be written as a sum of positive squares in 4 ways, for example, as 91744775236 + 99919456224784 = 302894^2 + 9995972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100011200999971 and 100011201000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221568209 + ... + 222019128.

It is an arithmetic number, because the mean of its divisors is an integer number (8751756385071).

Almost surely, 2^{100011201000020} is an apocalyptic number.

100011201000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011201000020 is an abundant number, since it is smaller than the sum of its proper divisors (110030952241684).

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

100011201000020 is a wasteful number, since it uses less digits than its factorization.

100011201000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443598619 (or 443598617 counting only the distinct ones).

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

Adding to 100011201000020 its reverse (20000102110001), we get a palindrome (120011303110021).

The spelling of 100011201000020 in words is "one hundred trillion, eleven billion, two hundred one million, twenty", and thus it is an aban number.