20212120001100 has 72 divisors (see below), whose sum is σ = 58483584342288. Its totient is φ = 5389605228800.

The previous prime is 20212120001083. The next prime is 20212120001107. The reversal of 20212120001100 is 110002121202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20212120001107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3713542 + ... + 7363058.

It is an arithmetic number, because the mean of its divisors is an integer number (812272004754).

Almost surely, 2^{20212120001100} is an apocalyptic number.

20212120001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212120001100 is an abundant number, since it is smaller than the sum of its proper divisors (38271464341188).

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

20212120001100 is a wasteful number, since it uses less digits than its factorization.

20212120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667995 (or 3667988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20212120001100 its reverse (110002121202), we get a palindrome (20322122122302).

The spelling of 20212120001100 in words is "twenty trillion, two hundred twelve billion, one hundred twenty million, one thousand, one hundred".