20212101120100 has 36 divisors (see below), whose sum is σ = 44930021864868. Its totient is φ = 7887649216000.

The previous prime is 20212101120091. The next prime is 20212101120131. The reversal of 20212101120100 is 102110121202.

It can be written as a sum of positive squares in 6 ways, for example, as 435420498496 + 19776680621604 = 659864^2 + 4447098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464886281 + ... + 2464894480.

It is an arithmetic number, because the mean of its divisors is an integer number (1248056162913).

Almost surely, 2^{20212101120100} is an apocalyptic number.

20212101120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212101120100 is an abundant number, since it is smaller than the sum of its proper divisors (24717920744768).

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

20212101120100 is a wasteful number, since it uses less digits than its factorization.

20212101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929780816 (or 4929780809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20212101120100 its reverse (102110121202), we get a palindrome (20314211241302).

The spelling of 20212101120100 in words is "twenty trillion, two hundred twelve billion, one hundred one million, one hundred twenty thousand, one hundred".