100010201112020 has 48 divisors (see below), whose sum is σ = 211941467816400. Its totient is φ = 39638562840576.

The previous prime is 100010201111927. The next prime is 100010201112067. The reversal of 100010201112020 is 20211102010001.

It can be written as a sum of positive squares in 8 ways, for example, as 17803302604816 + 82206898507204 = 4219396^2 + 9066802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100010201111992 and 100010201112010.

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, 1379504 + ... + 14209976.

It is an arithmetic number, because the mean of its divisors is an integer number (4415447246175).

Almost surely, 2^{100010201112020} is an apocalyptic number.

100010201112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010201112020 is an abundant number, since it is smaller than the sum of its proper divisors (111931266704380).

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

100010201112020 is a wasteful number, since it uses less digits than its factorization.

100010201112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834044 (or 12834042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010201112020 its reverse (20211102010001), we get a palindrome (120221303122021).

The spelling of 100010201112020 in words is "one hundred trillion, ten billion, two hundred one million, one hundred twelve thousand, twenty".